{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hyperbolic plane $\\mathbb{H}^2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This worksheet illustrates some features of [SageManifolds](http://sagemanifolds.obspm.fr/) (v0.9) on computations regarding the hyperbolic plane.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we set up the notebook to display mathematical objects using LaTeX formatting:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also define a viewer for 3D plots:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "viewer3D = 'tachyon' # must be 'jmol', 'tachyon' or None (default)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We declare $\\mathbb{H}^2$ as a 2-dimensional differentiable manifold:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2-dimensional differentiable manifold H2\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "2-dimensional differentiable manifold H2" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H2 = Manifold(2, 'H2', latex_name=r'\\mathbb{H}^2', start_index=1)\n", "print H2\n", "H2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We shall introduce charts on $\\mathbb{H}^2$ that are related to various models of the hyperbolic plane as submanifolds of $\\mathbb{R}^3$. Therefore, we start by declaring $\\mathbb{R}^3$ as a 3-dimensional manifold equiped with a global chart: the chart of Cartesian coordinates $(X,Y,Z)$:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (R3, (X, Y, Z))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "R3 = Manifold(3, 'R3', latex_name=r'\\mathbb{R}^3', start_index=1)\n", "X3. = R3.chart()\n", "X3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hyperboloid model\n", "\n", "The first chart we introduce is related to the **hyperboloid model of $\\mathbb{H}^2$**, namely to the representation of $\\mathbb{H}^2$ as the upper sheet ($Z>0$) of the hyperboloid of two sheets defined in $\\mathbb{R}^3$ by the equation $X^2 + Y^2 - Z^2 = -1$:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (H2, (X, Y))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_hyp. = H2.chart()\n", "X_hyp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The corresponding embedding of $\\mathbb{H}^2$ in $\\mathbb{R}^3$ is" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_1: H2 --> R3\n", " (X, Y) |--> (X, Y, Z) = (X, Y, sqrt(X^2 + Y^2 + 1))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi1 = H2.diff_map(R3, [X, Y, sqrt(1+X^2+Y^2)], name='Phi_1', latex_name=r'\\Phi_1')\n", "Phi1.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By plotting the chart $\\left(\\mathbb{H}^2,(X,Y)\\right)$ in terms of the Cartesian coordinates of $\\mathbb{R}^3$, we get a graphical view of $\\Phi_1(\\mathbb{H}^2)$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mTEk9V8gw5lq5tT/22GOzZ8/2eDzmXwsKuvr7NXNbipH8fpSVZZ0xkZvfj7Ky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\nSxlQaJAKotZIKRR7qYQSg5Q69TRIZVm/f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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(X_hyp.plot(X3, mapping=Phi1, nb_values=15, color='blue'), aspect_ratio=1, \n", " viewer=viewer3D, figsize=7)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "A second chart is obtained from the polar coordinates $(r,\\varphi)$ associated with $(X,Y)$. Contrary to $(X,Y)$, the polar chart is not defined on the whole $\\mathbb{H}^2$, but on the complement $U$ of the segment $\\{Y=0, x\\geq 0\\}$: " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Open subset U of the 2-dimensional differentiable manifold H2\n" ] } ], "source": [ "U = H2.open_subset('U', coord_def={X_hyp: (Y!=0, X<0)})\n", "print U" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that (y!=0, x<0) stands for $y\\not=0$ OR $x<0$; the condition $y\\not=0$ AND $x<0$ would have been written [y!=0, x<0] instead." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (U, (r, ph))" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_pol. = U.chart(r'r:(0,+oo) ph:(0,2*pi):\\varphi')\n", "X_pol" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "r: (0, +oo); ph: (0, 2*pi)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_pol.coord_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We specify the transition map between the charts $\\left(U,(r,\\varphi)\\right)$ and $\\left(\\mathbb{H}^2,(X,Y)\\right)$ as $X=r\\cos\\varphi$, $Y=r\\sin\\varphi$:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (U, (r, ph)) to Chart (U, (X, Y))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_hyp = X_pol.transition_map(X_hyp, [r*cos(ph), r*sin(ph)])\n", "pol_to_hyp" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "X = r*cos(ph)\n", "Y = r*sin(ph)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_hyp.display()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " r == r\n", " ph == arctan2(r*sin(ph), r*cos(ph))\n", " X == X\n", " Y == Y\n" ] } ], "source": [ "pol_to_hyp.set_inverse(sqrt(X^2+Y^2), atan2(Y, X)) " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "r = sqrt(X^2 + Y^2)\n", "ph = arctan2(Y, X)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_hyp.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The restriction of the embedding $\\Phi_1$ to $U$ has then two coordinate expressions:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_1: U --> R3\n", " (X, Y) |--> (X, Y, Z) = (X, Y, sqrt(X^2 + Y^2 + 1))\n", " (r, ph) |--> (X, Y, Z) = (r*cos(ph), r*sin(ph), sqrt(r^2 + 1))" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi1.restrict(U).display()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zQxq7iEQ2WlvkTtrSndrBsc1fdAnvplJ/6nmdtbXv7Ywt39zEEOLxtz1vF/Sk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\nys8AAAAASUVORK5CYII=\n", "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_hyp = X_pol.plot(X3, mapping=Phi1.restrict(U), nb_values=15, ranges={r: (0,3)}, \n", " color='blue')\n", "show(graph_hyp, aspect_ratio=1, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "{(Chart (H2, (X, Y)),\n", " Chart (R3, (X, Y, Z))): Coordinate functions (X, Y, sqrt(X^2 + Y^2 + 1)) on the Chart (H2, (X, Y))}" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi1._coord_expression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Metric and curvature\n", "\n", "The metric on $\\mathbb{H}^2$ is that induced by the Minkowksy metric on $\\mathbb{R}^3$: \n", "$$ \\eta = \\mathrm{d}X\\otimes\\mathrm{d}X + \\mathrm{d}Y\\otimes\\mathrm{d}Y\n", " - \\mathrm{d}Z\\otimes\\mathrm{d}Z $$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "eta = dX*dX + dY*dY - dZ*dZ" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eta = R3.lorentzian_metric('eta', latex_name=r'\\eta')\n", "eta[1,1] = 1 ; eta[2,2] = 1 ; eta[3,3] = -1\n", "eta.display()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = (Y^2 + 1)/(X^2 + Y^2 + 1) dX*dX - X*Y/(X^2 + Y^2 + 1) dX*dY - X*Y/(X^2 + Y^2 + 1) dY*dX + (X^2 + 1)/(X^2 + Y^2 + 1) dY*dY" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = H2.metric('g')\n", "g.set( Phi1.pullback(eta) )\n", "g.display() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expression of the metric tensor in terms of the polar coordinates is" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 1/(r^2 + 1) dr*dr + r^2 dph*dph" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_pol.frame(), X_pol)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Riemann curvature tensor associated with $g$ is" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Tensor field Riem(g) of type (1,3) on the 2-dimensional differentiable manifold H2\n" ] } ], "source": [ "Riem = g.riemann()\n", "print Riem" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Riem(g) = -r^2 d/dr*dph*dr*dph + r^2 d/dr*dph*dph*dr + 1/(r^2 + 1) d/dph*dr*dr*dph - 1/(r^2 + 1) d/dph*dr*dph*dr" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Riem.display(X_pol.frame(), X_pol)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Ricci tensor and the Ricci scalar:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field of symmetric bilinear forms Ric(g) on the 2-dimensional differentiable manifold H2\n" ] } ], "source": [ "Ric = g.ricci()\n", "print Ric" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Ric(g) = -1/(r^2 + 1) dr*dr - r^2 dph*dph" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ric.display(X_pol.frame(), X_pol)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Scalar field r(g) on the 2-dimensional differentiable manifold H2\n" ] } ], "source": [ "Rscal = g.ricci_scalar()\n", "print Rscal" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "r(g): H2 --> R\n", " (X, Y) |--> -2\n", "on U: (r, ph) |--> -2" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Rscal.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hence we recover the fact that $(\\mathbb{H}^2,g)$ is a space of **constant negative curvature**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In dimension 2, the Riemann curvature tensor is entirely determined by the Ricci scalar $R$ according to\n", "\n", "$$R^i_{\\ \\, jlk} = \\frac{R}{2} \\left( \\delta^i_{\\ \\, k} g_{jl} - \\delta^i_{\\ \\, l} g_{jk} \\right)$$\n", "\n", "Let us check this formula here, under the form $R^i_{\\ \\, jlk} = -R g_{j[k} \\delta^i_{\\ \\, l]}$:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "True" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "delta = H2.tangent_identity_field()\n", "Riem == - Rscal*(g*delta).antisymmetrize(2,3) # 2,3 = last positions of the type-(1,3) tensor g*delta " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly the relation $\\mathrm{Ric} = (R/2)\\; g$ must hold:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "True" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ric == (Rscal/2)*g" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Poincaré disk model\n", "\n", "The Poincaré disk model of $\\mathbb{H}^2$ is obtained by stereographic projection from the point $S=(0,0,-1)$ of the hyperboloid model to the plane $Z=0$. The radial coordinate $R$ of the image of a point of polar coordinate $(r,\\varphi)$ is\n", "$$ R = \\frac{r}{1+\\sqrt{1+r^2}}.$$\n", "Hence we define the Poincaré disk chart on $\\mathbb{H}^2$ by" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (U, (R, ph))" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_Pdisk. = U.chart(r'R:(0,1) ph:(0,2*pi):\\varphi')\n", "X_Pdisk" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "R: (0, 1); ph: (0, 2*pi)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_Pdisk.coord_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and relate it to the hyperboloid polar chart by" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (U, (r, ph)) to Chart (U, (R, ph))" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk = X_pol.transition_map(X_Pdisk, [r/(1+sqrt(1+r^2)), ph])\n", "pol_to_Pdisk" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "R = r/(sqrt(r^2 + 1) + 1)\n", "ph = ph" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk.display()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " r == r\n", " ph == ph\n", " R == R\n", " ph == ph\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "r = -2*R/(R^2 - 1)\n", "ph = ph" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk.set_inverse(2*R/(1-R^2), ph)\n", "pol_to_Pdisk.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A view of the Poincaré disk chart via the embedding $\\Phi_1$:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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U1v42FJppmv9PIa+bGUNlehguGBoCJDOuEMw5iAEJ8VPg6ixjDJe/eDtwk5Tb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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(X_Pdisk.plot(X3, mapping=Phi1.restrict(U), ranges={R: (0,0.9)}, color='blue',\n", " nb_values=15), aspect_ratio=1, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expression of the metric tensor in terms of coordinates $(R,\\varphi)$:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/(R^4 - 2*R^2 + 1) dR*dR + 4*R^2/(R^4 - 2*R^2 + 1) dph*dph" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_Pdisk.frame(), X_Pdisk)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We may factorize each metric component:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/((R + 1)^2*(R - 1)^2) dR*dR + 4*R^2/((R + 1)^2*(R - 1)^2) dph*dph" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for i in [1,2]:\n", " g[X_Pdisk.frame(), i, i, X_Pdisk].factor()\n", "g.display(X_Pdisk.frame(), X_Pdisk)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cartesian coordinates on the Poincaré disk\n", "\n", "Let us introduce Cartesian coordinates $(u,v)$ on the Poincaré disk; since the latter has a unit radius, this amounts to define the following chart on $\\mathbb{H}^2$:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (H2, (u, v))" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_Pdisk_cart. = H2.chart('u:(-1,1) v:(-1,1)')\n", "X_Pdisk_cart.add_restrictions(u^2+v^2 < 1)\n", "X_Pdisk_cart" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On $U$, the Cartesian coordinates $(u,v)$ are related to the polar coordinates $(R,\\varphi)$ by the standard formulas:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (U, (R, ph)) to Chart (U, (u, v))" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_Pdisk_cart = X_Pdisk.transition_map(X_Pdisk_cart, [R*cos(ph), R*sin(ph)])\n", "Pdisk_to_Pdisk_cart" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "u = R*cos(ph)\n", "v = R*sin(ph)" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_Pdisk_cart.display()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " R == R\n", " ph == arctan2(R*sin(ph), R*cos(ph))\n", " u == u\n", " v == v\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "R = sqrt(u^2 + v^2)\n", "ph = arctan2(v, u)" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_Pdisk_cart.set_inverse(sqrt(u^2+v^2), atan2(v, u)) \n", "Pdisk_to_Pdisk_cart.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The embedding of $\\mathbb{H}^2$ in $\\mathbb{R}^3$ associated with the Poincaré disk model is naturally defined as" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_2: H2 --> R3\n", " (u, v) |--> (X, Y, Z) = (u, v, 0)" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi2 = H2.diff_map(R3, {(X_Pdisk_cart, X3): [u, v, 0]},\n", " name='Phi_2', latex_name=r'\\Phi_2')\n", "Phi2.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us use it to draw the Poincaré disk in $\\mathbb{R}^3$:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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YUkaHM2fOyH9LnkBBZB2HGYisiKJ2YVAJ+nCbALeJRx99dOnSpdZ3aLjxxhsXLFhw5syZ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\np0R0rEPCslE++Q+o9xnw6LqNY+UdM5cOg5k3zj4u0g6HM8mRGVCqDnq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uYZlj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\nrH5SXQU+x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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_disk_uv = X_Pdisk_cart.plot(X3, mapping=Phi2, nb_values=15)\n", "show(graph_disk_uv, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On $U$, the change of coordinates $(r,\\varphi) \\rightarrow (u,v)$ is obtained by combining the changes $(r,\\varphi) \\rightarrow (R,\\varphi)$ and $(R,\\varphi) \\rightarrow (u,v)$:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (U, (r, ph)) to Chart (U, (u, v))" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk_cart = Pdisk_to_Pdisk_cart * pol_to_Pdisk\n", "pol_to_Pdisk_cart" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "u = r*cos(ph)/(sqrt(r^2 + 1) + 1)\n", "v = r*sin(ph)/(sqrt(r^2 + 1) + 1)" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk_cart.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Still on $U$, the change of coordinates $(X,Y) \\rightarrow (u,v)$ is obtained by combining the changes $(X,Y) \\rightarrow (r,\\varphi)$ with $(r,\\varphi) \\rightarrow (u,v)$:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (U, (X, Y)) to Chart (U, (u, v))" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart_U = pol_to_Pdisk_cart * pol_to_hyp.inverse()\n", "hyp_to_Pdisk_cart_U" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "u = X/(sqrt(X^2 + Y^2 + 1) + 1)\n", "v = Y/(sqrt(X^2 + Y^2 + 1) + 1)" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart_U.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the above expression to extend the change of coordinates $(X,Y) \\rightarrow (u,v)$ from $U$ to the whole manifold $\\mathbb{H}^2$:" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (H2, (X, Y)) to Chart (H2, (u, v))" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart = X_hyp.transition_map(X_Pdisk_cart, hyp_to_Pdisk_cart_U(X,Y))\n", "hyp_to_Pdisk_cart" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "u = X/(sqrt(X^2 + Y^2 + 1) + 1)\n", "v = Y/(sqrt(X^2 + Y^2 + 1) + 1)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart.display()" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " X == X\n", " Y == Y\n", " u == -2*u*abs(u^2 + v^2 - 1)/(u^4 + 2*u^2*v^2 + v^4 + (u^2 + v^2 - 1)*abs(u^2 + v^2 - 1) - 1)\n", " v == -2*v*abs(u^2 + v^2 - 1)/(u^4 + 2*u^2*v^2 + v^4 + (u^2 + v^2 - 1)*abs(u^2 + v^2 - 1) - 1)\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "X = -2*u/(u^2 + v^2 - 1)\n", "Y = -2*v/(u^2 + v^2 - 1)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart.set_inverse(2*u/(1-u^2-v^2), 2*v/(1-u^2-v^2))\n", "hyp_to_Pdisk_cart.inverse().display()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ynsrKSsDfBf7ggw9OmDAh9Ft0dVFTwyc+8Uu4MhI53diY8/FUAUWjW2GS63ZF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\n6Sdms1lXj0opzedzqxLwPYkGGL6c88XFR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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_Pdisk = X_pol.plot(X3, mapping=Phi2.restrict(U), ranges={r: (0, 20)}, nb_values=15, \n", " label_axes=False)\n", "show(graph_hyp + graph_Pdisk, aspect_ratio=1, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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H4RMTg0mJSIg2bYS44QYh3n9fiL/+EqKoqHbntoFoNALIGQUFQvz5JwTtzJlC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LFj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\ns9m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I59IMa3H5MixTvFyFKchllB4zBoEYXO/Kg4L27xfafe89zINBQZBQ+PjAQhUfL+ht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"text/plain": [ "Graphics object consisting of 30 graphics primitives" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_pol.plot(X_Pdisk_cart, ranges={r: (0, 20)}, nb_values=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Metric tensor in Poincaré disk coordinates $(u,v)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From now on, we are using the Poincaré disk chart $(\\mathbb{H}^2,(u,v))$ as the default one on $\\mathbb{H}^2$:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "H2.set_default_chart(X_Pdisk_cart)\n", "H2.set_default_frame(X_Pdisk_cart.frame())" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = (u^4 + v^4 + 2*(u^2 + 1)*v^2 - 2*u^2 + 1)/(u^4 + v^4 + 2*(u^2 + 1)*v^2 + 2*u^2 + 1) dX*dX - 4*u*v/(u^4 + v^4 + 2*(u^2 + 1)*v^2 + 2*u^2 + 1) dX*dY - 4*u*v/(u^4 + v^4 + 2*(u^2 + 1)*v^2 + 2*u^2 + 1) dY*dX + (u^4 + v^4 + 2*(u^2 - 1)*v^2 + 2*u^2 + 1)/(u^4 + v^4 + 2*(u^2 + 1)*v^2 + 2*u^2 + 1) dY*dY" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_hyp.frame())" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/(u^4 + v^4 + 2*(u^2 - 1)*v^2 - 2*u^2 + 1) du*du + 4/(u^4 + v^4 + 2*(u^2 - 1)*v^2 - 2*u^2 + 1) dv*dv" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display()" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/(u^2 + v^2 - 1)^2 du*du + 4/(u^2 + v^2 - 1)^2 dv*dv" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g[1,1].factor() ; g[2,2].factor()\n", "g.display()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Hemispherical model\n", "\n", "The **hemispherical model of $\\mathbb{H}^2$** is obtained by the inverse stereographic projection from the point $S = (0,0,-1)$ of the Poincaré disk to the unit sphere $X^2+Y^2+Z^2=1$. This induces a spherical coordinate chart on $U$:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (U, (th, ph))" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_spher. = U.chart(r'th:(0,pi/2):\\theta ph:(0,2*pi):\\varphi')\n", "X_spher" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the stereographic projection from $S$, we obtain that\n", "\\begin{equation}\n", "\\sin\\theta = \\frac{2R}{1+R^2}\n", "\\end{equation}\n", "Hence the transition map:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (U, (R, ph)) to Chart (U, (th, ph))" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_spher = X_Pdisk.transition_map(X_spher, [arcsin(2*R/(1+R^2)), ph])\n", "Pdisk_to_spher" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "th = arcsin(2*R/(R^2 + 1))\n", "ph = ph" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_spher.display()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " R == R\n", " ph == ph\n", " th == th\n", " ph == ph\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "R = sin(th)/(cos(th) + 1)\n", "ph = ph" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_spher.set_inverse(sin(th)/(1+cos(th)), ph)\n", "Pdisk_to_spher.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the spherical coordinates $(\\theta,\\varphi)$, the metric takes the following form:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = cos(th)^(-2) dth*dth + sin(th)^2/cos(th)^2 dph*dph" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_spher.frame(), X_spher)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The embedding of $\\mathbb{H}^2$ in $\\mathbb{R}^3$ associated with the hemispherical model is naturally:" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_3: H2 --> R3\n", "on U: (R, ph) |--> (X, Y, Z) = (2*R*cos(ph)/(R^2 + 1), 2*R*sin(ph)/(R^2 + 1), -(R^2 - 1)/(R^2 + 1))\n", "on U: (th, ph) |--> (X, Y, Z) = (cos(ph)*sin(th), sin(ph)*sin(th), cos(th))" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi3 = H2.diff_map(R3, {(X_spher, X3): [sin(th)*cos(ph), sin(th)*sin(ph), cos(th)]},\n", " name='Phi_3', latex_name=r'\\Phi_3')\n", "Phi3.display()" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+UFNTA3i7wB966KFJkyYFfoueHurr+cxnfgVXhkInm5vzPp7Kp0hkK0xxnJ5Q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\n3yuN13+0+9nvPxwNa3WnJmb0+mlNTOvuL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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_spher = X_pol.plot(X3, mapping=Phi3, ranges={r: (0, 20)}, nb_values=15, color='orange', \n", " label_axes=False)\n", "show(graph_hyp + graph_Pdisk + graph_spher, aspect_ratio=1, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Poincaré half-plane model\n", "\n", "The **Poincaré half-plane model of $\\mathbb{H}^2$** is obtained by stereographic projection from the point $W=(-1,0,0)$ of the hemispherical model to the plane $X=1$. This induces a new coordinate chart on $\\mathbb{H}^2$ by setting $(x,y)=(Y,Z)$ in the plane $X=1$:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (H2, (x, y))" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_hplane. = H2.chart('x y:(0,+oo)')\n", "X_hplane" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The coordinate transformation $(\\theta,\\varphi)\\rightarrow (x,y)$ is easily deduced from the stereographic projection from the point $W$:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (U, (th, ph)) to Chart (U, (x, y))" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spher_to_hplane = X_spher.transition_map(X_hplane, [2*sin(th)*sin(ph)/(1+sin(th)*cos(ph)),\n", " 2*cos(th)/(1+sin(th)*cos(ph))])\n", "spher_to_hplane" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x = 2*sin(ph)*sin(th)/(cos(ph)*sin(th) + 1)\n", "y = 2*cos(th)/(cos(ph)*sin(th) + 1)" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spher_to_hplane.display()" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (U, (R, ph)) to Chart (U, (x, y))" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_hplane = spher_to_hplane * Pdisk_to_spher\n", "Pdisk_to_hplane" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x = 4*R*sin(ph)/(R^2 + 2*R*cos(ph) + 1)\n", "y = -2*(R^2 - 1)/(R^2 + 2*R*cos(ph) + 1)" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_hplane.display()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (U, (u, v)) to Chart (U, (x, y))" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane_U = Pdisk_to_hplane * Pdisk_to_Pdisk_cart.inverse()\n", "Pdisk_cart_to_hplane_U" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x = 4*v/(u^2 + v^2 + 2*u + 1)\n", "y = -2*(u^2 + v^2 - 1)/(u^2 + v^2 + 2*u + 1)" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane_U.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us use the above formula to define the transition map $(u,v)\\rightarrow (x,y)$ on the whole manifold $\\mathbb{H}^2$ (and not only on $U$):" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Change of coordinates from Chart (H2, (u, v)) to Chart (H2, (x, y))" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane = X_Pdisk_cart.transition_map(X_hplane, Pdisk_cart_to_hplane_U(u,v))\n", "Pdisk_cart_to_hplane" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x = 4*v/(u^2 + v^2 + 2*u + 1)\n", "y = -2*(u^2 + v^2 - 1)/(u^2 + v^2 + 2*u + 1)" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane.display()" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " u == u\n", " v == v\n", " x == x\n", " y == y\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "u = -(x^2 + y^2 - 4)/(x^2 + (y + 2)^2)\n", "v = 4*x/(x^2 + (y + 2)^2)" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane.set_inverse((4-x^2-y^2)/(x^2+(2+y)^2), 4*x/(x^2+(2+y)^2))\n", "Pdisk_cart_to_hplane.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the coordinates $(x,y)$ correspond to $(Y,Z)$ in the plane $X=1$, the embedding of $\\mathbb{H}^2$ in $\\mathbb{R}^3$ naturally associated with the Poincaré half-plane model is" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_4: H2 --> R3\n", " (u, v) |--> (X, Y, Z) = (1, 4*v/(u^2 + v^2 + 2*u + 1), -2*(u^2 + v^2 - 1)/(u^2 + v^2 + 2*u + 1))\n", " (x, y) |--> (X, Y, Z) = (1, x, y)" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi4 = H2.diff_map(R3, {(X_hplane, X3): [1, x, y]}, name='Phi_4', latex_name=r'\\Phi_4')\n", "Phi4.display()" ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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66PWkpCCVaoBc3syyDWbzc7t3O+3RWY5TSoTZcTBv2jRNTMxHhYV+UqkvUeO/\n/y1jmFAfHzPH9ZbJcseMMbKskWWnJidfM5vvz8wU5EG77ZUff1wWHEyVlUdffnkM+rF6xhqt3H2R\nk/csISSvClh6vd46suqR+LEr63pDfvZQpVKJXReAmH765JNtCxdqfH1NLLuosJDuusvJBVg4Ttq9\nVYSXL6+bPfuXykpfqdTCcT4SiZRhvjp+vJ9cznJcg8WiT0mJmTeP+vThb162Zs2+DRv8pNK/FBWx\nRP/asmVARET02LHBUVGD779fyB/JbmvOnl0eHHx440YiQsbqBtteK3ePVqWlpWKX4Gxe1ORORKmp\nqampqd6wQNSt5+nBa61YsWLVqlVCXvHKlVUxMQPk8mE6XawTR63+q7a2cPx4v5EjH9u3r/Mbnvv4\n430bNlSXlvaWyXpJpRKGISIpw0iIzBxHRLdGR98aHT0iJkZ105nNq1eLZs/+sbxcLpFIiFgiC8eF\nREUF6nT3iLHQLCMkRCGRZHz/vfMf2n3ZrmRy92jF87YOd/KqESyeN6Qrspk3tN0OHgNa4F2uXMkd\nM2agQhGk0z20a5coJTSUlUmJ7hw/vt3v/nnaNLVEcrqsTCmRyBhGxjC3+fi0cJyEyEK0vKjo2JEj\nUTZjVPbq02cu//7qypX/KyiIHDt2zdy5FyoqLlRUfLl5c53FEhYVxRAlHTjQ45/PLtlnzqSHhKwO\nCxscGTnHo6cRBGH79tiTemrdeqek7vG6gOVhfe43xY9dVVRU7N+/n/9b1Wq1jz32mNh1ATjc6jFj\nestk181msdIVER396iuGYcq++iqY6Pwnn1R89dWHhYX95XIpw8gZRkJUzzD+UqmFyMiygdHRT2/a\nZBunou6+u0cP36/fb1NTiYg/hvnPU6deqqpSSSSXq6pYolWhoc0se1t09PDo6AlpaT16oJtZfeZM\nZkjIv6uqHPoo7q65uZl/lvbUaYfU1FSxS3Aq7wpYfBuWVwUsnk6n0+l0RJSenl5dXZ2eno6YBZ7s\n0qWVY8cOUigCxRu74jVZLNfM5nNHj54MC1NKJBzHhapUHFELxxlZNm3TprKvvrrTWa86zxw8+N9P\nrl59KSLCRyI5V1HxU2Xl3zdtambZeotl+caNgxzTsLVs48b1KSmOuLJnsLaxe9KolVV9fT15zQyS\nlXcFLM9ucrcH/6drjVnkoX/M4NWuXMkZN26QQlFvsYiYrs5+/HH+vHl95XIZw8gZpoXjniko2Pjm\nm4tsUw7RnffcI059ffqsPXuWiL7MzR0/f/6yiAiVRNJfLi+cP7/ZYpGOGJH90UfCPqBvQZ/JAAAg\nAElEQVQ6JsbEcRkhIdk4RedGHrNCsBPeFq143hWwPH4hoZ34UMXPG/J/2/Hx8fwQF4Bbu3L48MaU\nlAC5/JbIyHmidLUT0eXLW5KTz5aXD1QoTCxrIUrdsoUmTCCiRWLFqY6NT00lojVnzxLRp9nZMoZZ\n+/rr0q++urdv389qaoR8pICAWpOpn1wu5DXdmXVCkLzgGdgLlxCSt60iJKLU1FSNRuNVW3HcFJ+x\nGIYhouzsbLHLAe/V01WENTUZUVHDlMoBERH6PXuEq6sL1j788JWqqsFKpZnj7pk7d9f69Rpf31kb\nNtDEiaLU0z3JQ4YMUipDdLpZwr4jvXz5ld/85s7Zs502K+qyrKNWHh+teJ50VJ39vGsEi+dVW/Xb\ng38XtWPHDoPBkJGRQYhZ4IY+LSgoe+WVoUplSFTU5J07nV/AoVWr/rV5c4BcPlipvD8pSbN0KRFV\nl5YaT5w4XVp6m1sFrIKfflocGHihsjItJCRHwBm9/v1viYj4oqjIawPWjh07rMcVYFm3x/O6gKXR\naA4cOOCFfe43Ze15z8jIQMwC9/LH2FiuujpAJmtkWeenq7Mff7x6zpxbfXz6KxQsxy0+fdr6LT+p\n1MwwYW7YWPP6uXOFcXGXq6peCg5eUlg4YPJkQS77jy+/vEOt3hYf/6SXnZ9jG628sPOV6d5eu25O\nmAMc3AgmB28qOzubj1YZvxK7IoDOfJCVxVZX+0qlyYWFtuHGOf6ak/P2/PlaX1+O6LnCwiXffmv7\n3eNHj3JE0h7utiCSpAMHIp5+updUujEl5UpJiSDXLPrppyaL5UxFhSBXcxf8uiIi0mq1XpiuGhoa\nxC5BHF43ggV2smYs638xoAUuaLNeX3vsmL9Uet1i4RvJneaNqVMvVFQMVir9pdJgna7drq9gnY51\n6AnWDvZQZiZDdHTLlg0pKUN1ullCDDtNSU7+a1ER1dZSQEDPr+bK+IVE/MfePCGYm5sbHh4udhUi\n8LomdyJKS0uLi4vDLKH9KisrrU8T8fHxkZGR4tYDHunbb7/dtm1bl5rc35o2renEiV5Sab3F8sKN\nQ0eOdeXKEp2uv1yulEiGREY+sndvRzfMDgsLVCqfdv89rFNDQvwkkpT8/IBJk3p+tZWhoQzRih9+\n6PmlXJPRaFy9ejXHcVqtVqPReEMbeyfS0tJSU1N9fX3FLsTZvHEEKzw83GAwIGDZLzIyMjIyko9Z\nPCLKzs4uKyuLjo4WuzrwEL169bp+/br9t3996lTTyZO9pFJz//5xb77puMJucOnS5uTkXyorA5XK\nBovlnrlzR7/0Uic395VKWaKGzz7zvekBgq7t+YKC15KS8ubNqzGZ/njuXA+vtig/f/OCBZ43iMXn\nKuunGRkZSqVSxHpchxemK/LOgKXX671wvWjP2cYsIsrIyDhy5EhsbOyCBQvELg08xKVLl+y8ZeqY\nMX41Nf1kskGRkVOdst/VhU8+WTt37mClUiWREMM8W15O/v43vddlkylAJnP3dEVE/SdPfvnsWaqp\nyY2JWRIUtO7HH3tytb99+WULy743b940sfYqcwB+ITb/cXp6OqIVeGPA8s4oLRQ+ZhHRq6++ajQa\n9+7du3fv3okTJy5evLh3795iVwfu7fz58xcvXhw4cGDnN3s1NrZvbW0vmezOOXNGvPiiEwqr/+yz\nwpSUYSqVjOiexMTRdj+olMjiSW0Yffs+X1j4SmJiDzdkj1u58rOiIllZmXCVicm6Ekij0cTHxyNa\n2fLOLUZ53hiwQBBLly598MEHR4wYkZKSYrFY1q1bR2iEhx6orq7u1avXTdPV33Nz2ZMn+8hk54xG\nJ6Srn0tK3kpO7iOT9ZXJ6i2WF7//vkt395dKPWyptureexcVFLyenJwVFpayYUO3t2/g2/+rX3lF\n65SI7AhGo3H//v38qJVGo8Hpru06cOCAd3a4k3c2uRP63B3AdjeHjIwMhUIhYjHgpmJjYw8dOtTJ\nDWo+/fTtlBSVVDr/668dXczXH36YP2/eLQqFSiIxc9ySbjXR/+m22/rIZB7Q5N5WRkiIlGEW5uf3\n727GWhwYOESpXOrM1QnCsZ0QxBvLTnjzq62XjmDFxcVhu1Fh8U8xfIeW9ekGzzvQJUajsZPv5k2b\n1nzihJ9U2tK/v6MreXPq1Prjx0NUKiPHPVdWRr16de86jSzr76FvYrPPnEkPCSlISWnhuFXdWg84\nMCKCNRjo6lXq00fw8hzHGq0wamUnr32p9dKAFRMTc+DAAbGr8EDWDi3rBlqXL18eOXLkrFmz1Gq1\n2NWBG1sbG6swGHyl0sE63cilSx33QOtiYxuOH/eXShUSycS5cyM6XSR4UyqGsQhVmetZfebMomHD\nBioURXr93K6fWrj8gw9WhoYeSk6OdZNWd0SrrvLaLUZ5XhqwwNGys7NbWlr279+/c+dOg8Fw+vTp\np59+OjQ0FI3w0Il2R7AMR4++Ght7u1rtI5P1Hj06dtcuBz36B1lZfysq6i+X95bJTBzX86mr/StX\nyiUSuUcfEvLm+fMLhg1jKiu7t7Twisl0qqws1uX3a7C2QGAjwC4pFvawcHeDgAWOolAoHn30UZlM\nlpeX5+/vv3//fqPR2NDQkJeXJ3Zp4KLaXX7152nTtL6+vlLpvNJSe3ZG6J7XYmPZ6uphSqWZ454r\nLSUh3gnEL1q0YefOq2Zzzy/lyvLOn2/49NNXk5IyQ0KeKyzs25WdSP98/nxaSMiamJhl333nuAq7\nzXaPZULPQ9edOnXKazvcycsDVlpaWk5OjthVeLiEhISEhAT+49mzZ3///fcTJ04kotjY2Oeff17M\nysD1tB3Byo+Lu0OtVkgk/qNGOShdzRo8OFSl8pVKJUS/tLS8fPasYJfu27eFZRUePYLF873vvrvm\nzv1bUZGPpMuLJh9ITPxyyxaqqaG+fR1RW/e0tLRY4xQmBHvCm8//9dJVhETU0NCQm5uLgOVM/BZH\nW7du/eCDD/i3NdOnT4+IiBC7LnAVEydO/OKLL/iPr/z0U6Fe73PlipxhFpSVOSJdrYuNrT12rK9M\nJmWY5woL6a67BH+It26/vd5icc3hGcEtCQoaIJe/1PUfNiMkRDd2bLuHOTqfbbQijFr1QGlp6YED\nB7z5RdZ7R7AMnrhw2sXxWxw99dRTJpOJZdlz587t27dv375948ePV6vV/MgWAG/F2LG3q9VKieSX\nlhbB09UvJSV/SkrqK5MNlMsHRkaOGDPGEenqcHa2heP8pVJhL7s7NfURlzyLYt2PP64ZPjwnLCyt\ni7uFXTGZvisvd1BVXYJeKwFpNBovX0zmvQELCwlFNHfuXP6DqqoqPmN9//33YWFhmzdvFrcwcBGr\nQkPvUKslRNIRI1YI3Sf71rRpv1RWBshkFqKJiYkRDtvoctKCBdXvvBMmxHmd5z75JHv27N4yWR+Z\njIhyd++uN5s5onqLZeq8efemp9Ply+T43Stu6peWlqFKZVfn+9ZfuJAbFrY6LCy9i8lMQIhWgsMr\nrPdOERJRWloaEXnzAKaLWLBgwaVLl6y9kBkZGXK5XNySQBQTJ05c8uSTn65cqVGrTRx3T2KiVtgd\nGa5cSRk9WuvrKyFy0LSjrZpPPy1+5pkrJlM3Zs3o0qVLFRWrZs/uI5MpJRI5wzBEzSx7S0jIVbP5\n5zNn5AzjJ5UqGIYj4pu86lnWwnGNFstt0dF/mD9/IL//p9ODV1ZoqIRhuhqVtuj1l6qqXhRjLhXR\nykHS0tJSU1O9+Ww67x3B4mk0GrFLALKuK6yqqrLuUxofH4/2LG8jvXz5w+zscJVKwjDJGzYo7r5b\n2OsviIjQ+PpKiWJmz3Z0uiIivr39UbtPQ3/54Ydjxo37pLDQVyqVM4ycYQYrFETUzLK3jRnzh02b\n2t/v9OpVYpits2efKi1VMIyfQlF//HhRSoqJ45pZ1sJxDRbLyLFjg3W6BzMzhfvhOnTeaLxNraZr\n17q0EnNWcXHu8OHb4uOftFm152jWaKXVah999FGnPa738OZ0RV4+gkVYSOiS+Jhl/RQDWl7i4sWL\nq8aN08rlRNQ3IuLRvXuFvf4/cnPLtmxhiJ49fVrYK3fo6tWi3/zmmtn8QidbatXWzh850lcqDZDJ\nGIaREHFEJo57KCnpjpgY33vv7c7j1tZeLy19v6DgxNGj8l9HvxiiFo5jiFpYttZsHjFmzML33uv2\nT9a55cHBaqk0o4uDWGkhITKG6d6m8F2FUStH2759u8Fg8PKXV28fwQIXFBERERER8cMPP7zxxhtE\n9NhjjxmNxuvXr+/Zs+emJwGD+8obNy5cLpcyTPATTzxgc7SlIJ4LDAxRqeQMk1JQIOyVO/HVhg1E\n9MKmTbZfPPHBBwfy83tJpZeqqhQMo5BIQn18jCxrIZqalDR63jwBtuAKCOh1332P33ef9Qtf5ORM\nXLiwMj//3bw8f5lssERSc+xYdljYA0lJMcuW9fTh2rglMtJ44sQmvX5OV/rnnsnP32r3aF/37Ny5\ns7q6mv8Yo1YOFR4ejpVkCFjgokJDQ//0pz8dPHiwrKzs0qVL/fv3nzFjxuOPP56YmCh2aSC8xYGB\nw3185AyT7IDdRIv0+hCVSsowC775Rtgrd+6iyfRdU9OadeuWaTRLZs48efTocB8fP6nUXyptZhi1\nRNLIsrFJSZE9O43HHhPT0ogo8qWXrI9VGBd3prz8cGEhQxQtdMZ67uDB7LCwC5WVXbrXoPvvZ4i6\nOrdoJ5xG72TocCdMEXrzQd/uZfLkyUQ0btw4/lPMG3qS5cHBgSoVEX3p67tN6OX6y4ODBysUnDNn\nBn+1a8WKnevXm1jWRyLpr1AMkMt9JJJmlk3dtMnnnnucXEy71k+bVnvsGEc0dtasSYKOGv519eqj\nW7Y8W1io7MpP+uqtt2pjYh4S9DQk232tEK2cBh3uhICF7Ubdzq5du6yD/FlZWeIWAz23JChouI8P\nRzT/66+feOKJ7du3C3jxF4OChiiVFo7rrAvKAbZmZGzPy1NKJEOVygCZLGrcuBmusYtmO65cSY+O\nVkokwTrdTEEbzJcEBfWXy7u0yerSoKAhSuVigaJwZmam7Qsctgx1JvQ3E6YIMYzpdv7whz8QUWZm\npvW/WG/opr4rLX1t6tRRfn4Wjlv4zTdEdP78eaEufuWnn9aNHx/i49PMsk5OVztXrNizfr1KIony\n9/eXSpdUVDhhxWL39eu3+syZ5KFDufLy9JCQB5OSfpuaKsiF5+fn71y4sEu7W90WHW08ebLnD82f\nMU9EDMPg+cH5GhoaxC7BJXj7CBYhaLu5zF9Xnmu12vHjx/v4+KAR3j3U1CzX6YJVqhaOW/Rra5Tt\nUTk9tCQoKEylambZ552Yrk588EHarFn9ZLLb1OrlFRXPjhgR6ec3y01afa9/+ukriYk+EskQnW6W\nQENZW+Pjf66stH8Q68ePP96/aNHiHhy2bY1WRKTRaNDGLort27eHh4ej96bLB3N6JGFnJcCZsrKy\ntFotEVVXVyclJc2YMePLL78Uuyi4uZXR0UEqFUe0SPDG86tXM0NDg1Uqjmj8nDkCX7wD+1auXBwY\neGDRogm9ez/8P/+z/Lvv+D2rWPd5B9vrvvtWnzlzxWS6UFGRGhx8saSk59d8av/+ZpZ9efhwO28f\n9MADZo6jbv2jZWZmZmZm8ukqKysrKysL6UosBoOB8YIzzm/K26cIeVhN6tb4SUMimjhxokwm27Rp\n0zvvvBMYGDh//vw+ffqIWxu0a1lwcLBKZbIZuxLQMyNHan19zRzntDWDW+Ljf6msDFapAnW6eJte\nK5VE4nYvM388d+4fOTklGzcWpqTUWSxrz57t4QX/3dISpFLZvzbQxHF7EhNndGUXNNud89CX6SKi\nhTghyt1hBItSBWo4ANF98cUXGRkZSqXSYDD87W9/W7hw4YoVK2pra8WuC/5rU0ZGTlhYmI9PE8vG\n/fnPAl/9ypWcsLCRvr5BOt0zTklXv5SUZIWG1h47ppJIAkaPjr+xk53jOHfswfh9WtrqM2eCdLpe\nUmlmaGgPr7bhwoUmls3W6ey8faPF8nVZmZ033rlzZ2Zm5v79+zUaDT9q1d0yAYSHESzwKBMmTJgw\nYQIRHTt2bN++fRzHvf7660Q0ffr00aNHi12dt/t3RcWP27cPUijMHHfrk08G8ofl2VAqld2++IFV\nq8q2bBmiUNRbLMKu82/XlcOH18ydO0Sp9JPJAnW6hPYWCd6iULjdCJbVzP37qbY2U6dbERo6KCIi\npQfbvi/Mzy9MSbl6+HCfSZNueuNgna7pxImb3izT5tgf5CqXUmZ3PvZ4CFjefliSpxo9ejSfqPgn\n4n379u3bt0+r1U6dOrWurg6N8KJ4berUgQqFmeOmvPlm6P33t72B0Wjs5qWvXj2xdetQpbLeYlnq\n+K725wIDBysUgxSKkKiouI0b2z8ikOiyyRTg1ru1BQRknTlTtXbt+wUF78THd3sTh4GTJ7ew7Pp5\n81LtWE5YceTI7Wp1JzdAtHJxxV3Zvt+zYYrwPxC6PRU/ccA3wn/wwQcPPPDA8uXLjx07JnZd3uXL\nQ4fSQkJuV6ubWDbpH/9oN10RUfeC7y8lJaujogbI5cN0Osemq8uXE4cMyQgJCVGp+N0f4nbv7ihd\nEZGPRCJ1YDVOEvHSS/cmJn5XXr4qNPT6p5927yK6p5+WMkydHXdff+GCkWUNr7zS9lu7du2yXTWM\ndOWy9Hq92CW4BGzTQIRjKb3GjBkzrl27Zt0OHvOGTvN8VNQdDQ1Shhm7bt3oKVM6ulk3tmm4UFJS\nNG/eIIWizmJZ4sh0NWvw4OE+PjKGUUkkz1VWkh0j3+khIWEq1exTpxxXlTO9EBTURybLKCujgIBu\n3L1Ir6+pqnrRji0bcsLCZAzz0q+35Kf7rd9FrnJx2PnIClOEREQajQYLCb3Bnj17WJaVSCT8dvD8\nvCHhKdvBvvnoowHXrikUCuXIkZ2kq254IzGx6S9/uUWhGKzTJTuy72pxYGC4Wq2USOoslmV27zM+\nwK3nB9t47ccflwUHr4yKWvnDD924+9zi4pywsL0JCQk3WyHYxLL+UikRmUwm6/br/CC0dckwuCbs\neWQLAYuIKDo6GtPGXkIikdCvT9Nms5mPVvy8A2KWg7ydknKbWm1k2Vk3e2Xt0hRh6fvvN//lL31k\nsrDo6Ek7dvSsxg59unp12ZYtwSoVS/RceXmX9mRvZlkfiUe1YTyQlPTPTZteDAp65ccfu3H36xbL\n93acNRmbnLxi3bqvHnhg5Jgx/Ffwt+kuMFphCwELvJdMJsvKyjKbzWlpaRcuXIiNjSWiwMDAiRMn\nJiQkiF2dh5g7ZMgYf38Tx837+uub3vjixYt2XjZ3yhSfr7/uI5MNuO++SW+91bMa27d6ypTG48cH\nKBRShulqtOL5SqVmz+rBmJCWVnXkiPTEiX/m5t7Z9Q1uBkdGmk+ebPn8c0XHJ0AfO3bs+V27fmlq\nunfoUMI8vrspLi7WaDRiV+EqPOrdVQ+lpaWJXQKIQCaTrV27durUqURkNBpPnjy5bdu2GTNmiF2X\nJ/ippOQOtVohkehefNHOu5w7d+6mt7l8+DBjMPhIJAEREXrHpKtnhg2TGQyDFIrFGzcu/fbb7h0m\n2MSy7rtNQ0cWHTxYazZ/vnFjN+773MGDZo6Td/xvsmvXrn379o0cM4bjuJEhIVlZWUhXbgcjWFYI\nWP+BVQ9eLiEh4dChQyUlJQMHDhw+fPjFixcXL15su2oJumFzSkp/udzUv/+gyEh7bt+rV6/AwMDO\nb/Pvw4e3L1jQWyabV1g4o73dp3pocWDgq7feOtzHR84w4+fMoYkTu30ptUQi9biARURrzp5lGCY1\nJKQb971gNL6RnNzqi2azmT/oprq6WqvVvrZu3dwhQ65v2SJAreB06HC3whQhwA327NlDREVFRYcO\nHfL396dfzziTyfDH0jXLYmKC5XKW45Lee4/69bPnLr1vdprK7MGD71Cr+8hkzIgRNGGCEGX+199y\ncj4pLByqVEqI7k5MHG33qFtHjBzHsqwgtbmaH5qa7lCrt8THd/VY6Khx42ptNkmxXSGo1WqtPezN\nLNtb6gF7XHiXxsZGsUtwLXjN+A/0uYOtuXPnxsbG9u3bl++u5ZcyTZ8+fdSoUWKX5h4uHj7c9+pV\nlVzuf/fddqYrIurV8Z5SRLRp3rxRfn4+EsnwmTPvFXZCv6ZmaWRkgEw2SKEIjIrS794tyFUDZLJe\nHvoLs/nnn9NCQtjKyq7ecdb+/X+67Tbz55/ThAm2reut2tgX5ue/s2CBAIWCE2FysBUErBuUlZXh\niErg8Sva+Of93bt3W7d1+O6776ZOnYou+M4Vzps3VKm8OzEx+Pnn7b9XJ9vyLY6KGl5fr5ZIksvK\nyM9PiBr/49nAQJbjblOrmyyWZ+3egsEeTRaLsapKwAu6lH6jRzeeOJEZEpJ15kyX7vj+lStFjz6q\nnzeP/7SjFYIyT5xd9WzFxcVotrGFgHWD4uJiBCxo65FHHuE/WLZs2fnz5/Py8k6cOKHVaq1fB1sr\nx44dJJc3sWxwYmKX7tjRUTlVr7wSXFcnl0j8Ro0SNl0tDw6+zcenkWXn5ecr7r5bwCsTEcMw8woK\nun//S5cuVlT0lkqXPvUURyRjmN9Nn943OHjPq69uuHDhg6ysKaI2CD5/6ND/5ub+Y9Om/8vN/a19\nKwr5CcFvGxvlEsm8OXOGBAd3dMsBkyebOK58zZqoZcuEKxkcDi+gthCw/kuv12OWEDp3//33f//9\n92FhYURUXV29YsUKIlq1apXYdbmQA6tW+dXUKOXyJ/Lyurr4rt0pwmUxMbdcu6aWSCbMnRu+dKlA\nZRIRLRo27Ha12sJxLzpgC/jDq1dLiX4oKwvtYpv8u5mZj7/wwgujRqkkEl+JhGGYgQoFETFEhoMH\nGaJAlSonLMzEcWVbthhZloiaf+30CouOHjlmzNa33poxf75u7NhBbY7TFtbvUlNLCgv/tmnTTQOW\nba9V1Lhxt58500m6IiK6dMnMcR62ixh4GxyVcwPs8Q/2O378uO0JHohZvKzQ0ECV6prZ/FzXp9vy\n8vIW3Nh5kzx06AhfXxnDPJ6X1/vee4Urk7LDwvrJZE0s+4LDDtgpDA8PiYqydxPUmpo3Zs36ubLS\nRyJRSCQckZnjLBy36sZt0xu+/FLa2Fh+5MjZ8nILx5k47nRpqVIi4Z/H+Wk1hojl51sZxsJxgyIj\nUw4cEPyns1odFmZqU6ct2wME+Tb2dbfe+lxBgazj3bCIKDssTM4wy+w4WgdcAU6cawsjWADdNGrU\nKIZh3n///ZKSEiKaOHEiESUkJIwYMWJiD9b2u7WlQUG3q9UmjutGuqIbpwhPl5a+OW3aKF9fKcNE\nLF0qZLqqqcmOiekvlxsdma6otpY4rvKrryZ1fJOzH3/sI5VmzZ4dIJP5SCQShvGTSm+PiZmclNTR\nz+s7fjwR/faee357s8f/Z27uuN/8Zutbb52rqMgKCwsYPfqZ997r7g/Tmafy8t5duHBnQsKjN+7U\nzx9IZf3UtteqiWVfTkzM+P77Ti7be9Qo08mTglcLDmIwGLDFaCsIWADdN3LkyJEjRy5fvpyIFi9e\nbDQaz5079+WXX65cuTI3N/e3v73pi6BH+SAra4hSqWCYp7o7XnLt2jXrxzsSEm5Xqzki7VNP/Xbu\nXIFqJCJaptMFq1T3JibetmSJgJdt5XpZGcMwpvamCD5dvfpQfn5fuVzJMAzDDFUqWY57IDlZ99JL\nAhbA77Q+5+67ieil4GDpsWPpISHNLLuuW6fcdCLwgQdqzWZzWZn1K7bRynbzBavJiYlfFBV1ftlF\nb7/9p7FjhS0VHOqJJ54QuwTXgoB1g5ycHMwSQve8/vrrRDR//vzz588rlcqSkpJz585ptVrv2dmh\n/O23g5TKf5tMFB7evSuMGDGC/yArNHSAQiElSrbjgJ0uqK1dGhEx3MenkWUdmq6I6Ex5uYToiYUL\n+U9//OST9KefvkWh6CWTKRhmmFJpIbo9OjooKmqs4/u41549++nq1R8UFAyQy7PCwh5MSooR9EHX\nnj2bGRr69ODBv8/KOmuzF39HKwSvms1ShqFr16iTnc8CAlo4rnTNGmFLBXAa9GC1hoAFPbR3716W\nZW0nR7xhveFGvV5SXV3fs50OVqxYMaZXr8/+9KdwtbqZZbs3z9iRCyUlb6ek9JXLk/PzJXfdJeCV\n27UhLk556tSZ5uZak6mvXC5lGCXDsERGlm1i2bVnzzq6gHbVHD78SmKin1R61Wy+JSJi6fvvC3Xl\n8bfe+u8LF1iimUuX2nOAYG5Y2PKiIqbTlZuv3Hrrixs3kuP/Z0HP4aWzLYxgAQjMukWWxWLh38Hz\n6w09OGZlPPjgLd9+6yORPFte3pPrnNy3r6Gu7g61miO6feZMocrjbU5JGSCXh0RFOSFd/VJS4ieV\nGjnOXyr1lUiIyMJxL7lAv3bfSZPWnD3L71lvPHlyaVDQqz2eMeTX0k56/PFNa9cOUyofjo625wDB\neovlj0lJnffAmVj2w4KChxCwXF6ZzQQxWCFgATiKVCrllxby+5R6cMxSnjqlVirDX3ihe4ci8yo/\n+CC8oWGYj08Ty07fvTswKkqo8nKnTGEMhoFy+RCd7v6dO4W6bEfemjatpqqql0xm4bilFRU9+Tdx\nkAlpaRPS0t6cOrWhsnJ1WNht0dGP3NifbifbhbRarfZ8c3NaSEjxokVjpk696X2vmc395fLOb8MQ\naWJiulEYOFlxcTE63NtCwAJwOD5R8a9G1dXV8+fPv379ektLyx4HnFXsZPU//5wxduxIX18zy/Yd\nMqTb1zl55MgbiYm9ZLJ/Xb9+55w5Aqar16dO9fn6a4VUeufcuSMF3UarrXOffPLHxMRApdJPJrtu\nsQQqlcc3bBjV4zMNHWTRwYNERFevZkZGZoeFGVm216hRL9o3aciPWvEyMzOlv0Pp5sAAACAASURB\nVJ4bGKTT1R0/bs8VVm7evHXBAuPnnys73qzhusVy3WKx52ogOnS4t4WA1Zper8dcMjjCqFGjRo0a\ndfXq1WnTpsnl8j59+vADWrGxsT4+PmJX100fFhSEq9UMw4ydNSv8wQe7fZ389PTLJlOt2fzepUsC\nljd78GCtr69CIpmbn68UeqP2Vp4LDAyQyYJVqmtm84offsiZMoX77juXTVf/1adP1pkzzwcG+stk\nDSdOPBcY+CebLvW2+OFY66ettn8LjYo6eeIE1dXddNxuwOTJRpY9XVY2suOA1Vsmu+koF4DLwj65\nAE7Vp0+fPXv2fPrpp/xeWdXV1TNnzpw4ceJugQ4YdqrLl7/ftk0pkQyJjIzswRYDBzdsOFNeLmMY\nv7AwAaujq1cj/Pz8pNKUggKHpqs1Dz+8MjR0mFKplkqfO316xQ8/ENEvlZVu9PT6x3PnFhUU1Fss\n/eTyHdOnt3ub3bt3r1ixgk9Xq37V6jaTMjKumc375syx50GvmEwfFRZ2coNfWlr2b9hg308Aomls\nbBS7BBflRs8AToKjlMDR+GOkFyxYsGrVqunTp1+/fn3AgAF8h9Zx+6ZXXMTqsWNvUSiaWLaHjU0F\n6enBKtWdt946/P77BSns6k8/bU9JeS0mRs4w877+Wu6wLumcKVMyQ0JUp071lskeTE5eatOyzRK5\n1wrtfpMmvfbjj71HjTpbUdH8+ee237KNVlqttvNDC2pMph/sW+swbd68zk909pFIrpnN9lwKRIQG\nrI5girB9jY2NarVa7CrA840aNaqkpGTv3r1FRUVKpfL8+fNGo/H69euHDh0Su7Sb+GtOjr9Uaua4\n23q23C956FD9gAEWjrt99uzD33//xRdf9Hwf/Ly4OL+aGl+pNMCO5WzdVhAXpzp1yk8un5ycHN5m\nV61BCoV7BSzeooMHnw8MfC0xsdfo0c+8955tr9X06dPt2dTtzfPnXxk+nK5fp/ZOlrT1P2lpR7ds\nOb527agOhj9ZjuuHKUJ3gIDVLoxgtQ89WOBMCQkJJSUlhw4dmvzr6byxsbETJ07cu3fvxYsXxa2t\nI2VbtvSWyeQjRtybltbti8wfOjTSz48lSv7667sSE7/77rsBAwb0sLDsceP8a2ulDKObNat7i+Nu\n6tLhw8uCgxuOH+eInj19um26IqLLJpPFPXcZ/OO33/7dZHq9pCTKZsZ21apV9m+ZW2M2r9Xp7Lll\nM8t+vHFjR99VS6Vu+S/oZQwGA2Z+2oURrHZoNBqDwSB2FeCNZsyYMWPGjN27d/Or3/Py8g4ePDh5\n8uSoqCjrLueuYGr//vf36/dzS8sjqak9uU6gSqVgGNs1gz35Mb88dKggOTna37/FcYcM1tS8pNP1\nl8sHKxQ1ZnMnJxxzHNfZ7JcLW5GbGzp5smH79tqff/7svff+WVXV1Sv80tIywL6Rp+sWy+BfVyC2\nUqTX+0mldVhFCG4LAasdSFcgrkceeUQikSQkJPATNOXl5Zs2bdJqtevXrxe7NCKiR0eOZBimpKam\nhyv+ngsMHO3n12ixTNqxg//KhAkTun21k0eP7l+4MNrfX8owL1RW9qSwjqQMHRqoUt0ilzex7NJO\nDyomor5yOeuIIhzJOiF4y9ChPzY3zxw0KOjaNbpyhfr169J1Hk5O/mH79t0JCTcdQVy2cePm+fPb\nfn3RsGGBKlW9xdJHhhcpl4YtRjuBKcJ28PODWBkBIuK3g+cXaul0OiK6fv36ihUrRF9s+K9Dh/pf\nvSohenzBgp5cZ0Nc3O1qtZnjfv/HP1q/+Le//a17V/umtDQ/Lm64j4+EaP7XX5OfX09qa2vNww9n\nhISEq9Vyhrk7MTHtZumKiKQM40ZPr3wbO//x9OnT+Tb2JxculDNMVte3+oxfufJiS8sZO1rdr5rN\nMoahujrbL74QFBSkUj2UlLSqokIlcaN/RW9kMBjQgNURvDnoEJrcwUXMnDkzOjr6iy++uHjxIr/Y\nkMQ733DfwoVR/v5DlMqElSu7fZFvP/64/vjx/nL56KVLI6ZMsX69ew1np0tLdyYkaH19m1l2saDH\nFxLRh1lZHxUWhqlUfeXyoTrddLv3hlVJJG4xgmW7GzvduK/Vfenp9y1cmBsVtSMh4bEudrOpR41i\nvv46IyQk+8yZTm4W+uCD9Oyztl95PjBwmEr1/OnTRLQrIYF1zz4272EwGNCy3BEErPbp9frt27dj\na1pwESNGjOCbk06cOLF3714S43zDixcuvDltWrBKZeG45T2YF/jre+/98/nnhyqVlv79hz/wgO23\n+A0suuS7srK34uLC1epGi0XYvqtvPvooPzm5v0Jxh1rd0vXo5iftoLfINbTKVR3+IvXpc6a5mSsr\nezs+/un9++2//soPP0wPCYkeN+6mtzRxHJWW8ic6zxs69Ha1+rmCAv5b9WjAAneGgNU+g8GATixw\nQSNHjhw5cuSJEydOnjxpPd+Q2myo7QibMjL61Nb6yeW/nzOH+vTp9nX+9+WXB8rlAaNHR774Yp/B\ng22/pdVqOY5jOt0bydbBDRtK164NV6uDoqIeEvSQwXWxsTVVVUOVSiJa9M033bhCo8XCuuT0lvUM\ncqvOf3kKf/ppaVCQpLIycciQjT/9ZP8DXTGZTtsRxK1bYe1KSLhDrR4UGSn5dVfY/5kz57PFi+1/\nRHAyNGB1zhX//l0Bxq7AlY0cOfKRRx6xfV1csWLFihUrHHe44aXKSuNf/9pXJpuVn39re7sS2Glb\nZmbv2loLkeHs2ZA2S7u/+OIL+9PV3997r+KVV4YqlYE6nYDp6sPs7PlDh0oMhgEKRVBUVLdHxRQS\nSee7aIpixYoV1nSVmZnZ7m7sbb3644+DIiODVKp/5uba/1gzUlIYosbPPuv8ZjUm05q5c7dPn/5L\nZeXisrJHbeYib3/oIbeYZvVaGIboHEawOlNWVobtPcCVWV8d+XGskydPzp8/f8SIEfPnz7c/qdhj\n+YMPxvj7s0TUg4V+RPTLjh395PJrZvPyf/2r7Xft36Ph5Ycfbjx+fJhS2TciYsquXT0pydYn2dll\nmzffoVZfs1gyjx3rSbM8R9TEuko8YFnWNkjZuWWorVn796eFhHxRVDRyzJje991nz13uSk//v82b\n1yQmZnW8mQUR+clkcoa5UlW1qKCg9d6ktbUSIrp2jXr37lK14BzocO8cAlZnsH8auAvry2dsbGx1\ndfXJkycHDBiwYsUKiRCzVBkPPjjaz08hkTz0xhs9uc6OhIR+cnmDxdJRP5NWq73pRf594cK+Vauo\nunqYUnlvUtLwF17oSUm2ih955Fx5uZ9Mdl9Sknbp0h5d6+pVluNcZAWc7W7sPZlKzjlzJjss7LXE\nxKyKCgoIsOcuDyUnf9rxPqK8Roult0x255w5krbnRQYEcERIV64MAasTCFgdwnaj4I6efPLJixcv\n8svx+FfThISEkSNHdvuCly9ckBkM/ioVM2DALZMmdfs6c4YMGePvL2WYZ9obu+JdunTp4sWLnbS6\nX75wIf3BB+9oaOgtk/WLiBAsXdXULNfphiiVJo5bIkinfJ8+UoaZJ8h2XDU11LcvETV8953UZHpz\n6dIX33/fnvu1GrUSJG1nfP/9qtDQJRER63780Z7bD42MZDmubM2a6GXL2r3BS8HBA+XyBoslpoMb\nCDsQC4LDGEQnELA6pNfrsfoU3A6/gRYR7dmz5+TJk0S0d+/evXv3jhgxYsaMGd244Nb58wNVqgaL\nZeHf/97tqn4qKYn285MzjP899/BxoV3Xr1+vrq7uJGCtmDIlqK7OVy4fEhk5VbgtwdKjooJUqgaL\nRZh0RUREcoY5s2FDyPPP23+X7z7++MP8/Jpjx6QMIyUycRz7aw+4meNkDNPCsgqJJDMkRMIwEiIL\nEUPEchx/GxPHLS0q6nXvvY6IVlYDIiJ8Tpyw98aTJzey7CeFhe0GrCK9fqhS+bPReItC0dlVMEXo\nkpqamsQuwdUhYHVIrVbjzRO4L2ucsrZndWO94cqxY3vX1nJS6cKeLRfanJIyVKkcMmnS5E4nGY1G\nYyffZU+cCKmr6yWXCzgz+H5W1vGtW4cqlfUWy1Lh0tXVzz6TMUzbLv52HV69+nRp6c+VlUqJRMEw\nSolkeHT07dHRUoYhotKvvnpswQIi2r91a3Nd3R8WLFCPG7f1qae+KSvTz5snk0giXnxxo16vGzt2\nz/r146dObWDZAUOG9B08eNTYsetsNnEVSmh0dOXx45khIVmdbnBldcVkClKp2n797fj4+uPHn9u4\n8fA//vHt9u0d3Z3lOHKNmVZoBQMQN4WAdRNNTU0+Pj5iVwHQfXyisg5o8TGLnzfsfD7uvQ0betXW\nBshkT1dUUHuvkXZaEhR0h1rN9u8fNWtW57fsZPVuWkjIALncVyqdmJgo4Mxg9datfWSya2bzsu++\nE+aaRETU5957OaIP8/Mf6nRNwIJhwwbK5XKGkTGMgmGaWTajTWqx9qI/ZtOi9NSNW1IlFhfv3r27\nbtKkPkePWn766dKFC/41NfJz5zadOTOnuFiIH+i/HsjI+N9Nm+w/weat/2fvvOOauvo//jk3kyki\noEIGwz0RUHPteOzSbq2axD7+ng5RUbEtCa3VVgvWWVsIHdZttda2JNYOu6x1PE/VxAEuELdC4hZZ\nIivJ+f2RSpEESACrbe/71T/CueeeewKWfPie7/fzzcl5Ny5uzciRt+y5sLDo0KHrNhsGDx7Sq9ex\ntWsbut1GqW3vXp5zehbHXcCIESPu9BbuajiBxcHxj6BeQGvlypX79+8HwLLs/PnznedfPXcub82a\n9ny+HWiJunotNjbSy4sA7YcMCY6ObnzyZ599tmjRIhcXiovbC4U2SkOjo7u2wCTiFoqK3o6NDREK\ny2y21lVXtTyxYoWL0eJibe/eAQKBmGFkIpHjXE/QAgFR6z0bEhb28iOPOPxCK7dsmfnii+cPHJgV\nEVFYU/PBwYOe9hNshLlnz86PispZuLDX1KlNzw4IqLLb7x80qHbgw2HDaF5el9jYJxzln0FBNZSi\nrAx+fs53E0JOZGV14wTWXQmXgNU4nMBqDEca1pw5c+70Rjg4Wo1Zs2bl5OQ4zJB69OhhNBod7ln1\nMrRWTJwoKizk8fmjW+Ctteu774KLi72EwpC+fZ+YObPJ+YMHD96+ffvgwYPr77lfvzCRaNySJXC6\n1Dx+mj07Z82aYKHwYnV1aqMmAs3jxpYtDHBi8eLON+XgouHDs3bvlonFAkI6iEQ2Sl9dvpx54IFm\nP6LWbLZ2pO7hr/ihh94tKADwqkzWViB4Oy7OSumlmpql5841+4l1KbVav12yxC2BBdgp3bB4cXJy\nMoAPhw8vOXz4ucRE2c0w5MVNm/iAde9evisVVW23n8zK6tYqm+bg+HPhBFZjxMTEbGjtADsHxx2n\nV69eDlHlOJLbvn27w9OhbiK8LTe3nUgUEh0t8tAwqZZje/fuXrCgnUDQOTb23oaTbOqyffv22iT9\nWl6RSvv6+naIjm4tdYXi4kOrV/vz+ZOys+Hj0zpr3koNpQwhV2pq8ufMKdi//3RWlhfDdPPxqbLb\np7YsXuWgNmqFprpSOsr9Fg0ffiIrK1QofDM8vNpuv1JTs/rChZZsYP6hQwvdjl6EREeXHz4M4OxP\nP1Xm5PjweLI6h7wdhg61Ay7VFQAKtKLPGUdrke1GJ28OTmBxcPxz+eyzzy5fvpydnW00GgFs2rRp\n5cqV9w8alPXRR4+2a2cDHmuBQ/rykSMjvbxAyL1Llrh5S3BwcHBwcN2RAwsXdvP2LrVax7aSV/vc\nJ58UHz0awOdfrK6+TeoKwCv/+c99bdpsXb5cyDCUUvXkyb2nTkVpaX0jTc+pVyHoZslC4jffOF7s\nnj//x2XLInm8/82bd/8bbzR/H23aVNpsC6OiprpxukopZQhBYeGXU6Z0j4tzLv+8YbPhv/916WFL\nALp1K+GOCO8yNmzYwDlgNQknsJqGy3Pn+BsTEhLy6KOPPvroo9u2bZs1a1ZwcPB/N28+U15+pLz8\nt127mr3ss+3bR/v6ihlm7J497vuhX7ly5bvvvqv1c7ds2rR1+fIAPn9SK7U82zp3ru+xYzyGSVi6\ntNXiYU58MHx4F2/vMput74ABT9WNvrRAXR0/fnznzp1n66TAN88ydOD06QOnT58ml+9YseLovn0T\nWhChD7oZl2qSSatWZQwcuGDAgL4DBriU7NdttvWLFo1yJbBEDJO3b18PTmDdfXACq0m48tcm6N69\nO1eMyvFP4IEHHti+fbth7dpLBw7wCWF8fRd9801qampqaqqnSxk+/rizl1eIUPjAuHEuM5cbYuzY\nsXWdGpYmJATweA+MG9eSljW1bJ079/Dq1TxCbp+6+mn27JSIiKqcHAJYKX08IaHla9rt9pSUlHff\nfffXm0393Gwg2AgL8vMl/fpdPXBg7ahRzV5k8tdf11CaGhHR9NTAQABd4uIaCojyCTm2b5/LS9dt\nth79+zd7kxy3j5iYmDu9hbsdTmA1wZgxY+70Fjg4/jzm9eiRJJU+GhjYlWVrB1NTU7OystxXWpUX\nLwYKBNV2e4SHfgoWi6Vfv36O19Pk8nCxuNRm83QRl3w6atSh1at5hEw5flzQgtTyBrl6NUkqzfv0\nU38e77UDB0L79WvL5/Na/KCUlBSHlrpx48agQYNaLq1qeW758vyqqoLs7KkyWbMX8e7Vy5vHa3La\nW+HhPEKiGv48rqJU2IDZlTdngnX3sW7duju9hb8G3L9dDg6O33lJImknEFBAZzZ//e23qampo25G\nONavX799+3atVnvixAlHwlZDfPbWW4aPPxYQ8uD48Z5ugGVZx5/Fm+fMCReLK+32pAa6FnpEQlhY\n6aFDDnXV8tWc2TJ3bmr//nKxuMZuTz55Er6+NkpbuKZer6/tIdizZ89169YlJia2eKd1CAxceu5c\nYN++AXy+Ript3hpJ335bbbfPajSINU0uby8Ultlspxo+5+0RF8dv2NX5W7dz+Dj+HMaMGcOdD7oD\nl4PlFlwaFsc/AYlIJGSYe+Lja0d69erVq1cvSumCBQsA+Pv7r1u3Ljs7OyYmpmfPns4VfwC+/Phj\nASH5lZWdPTesMhgMiYmJKCrKXbPGn8cbe+xYS96Og9dksl4+PgBeug3q6uNnnrly4IAfn+/D4xVU\nVurMZse4nVJes/pA1C0PBNDsBkduMunrr5NlsrYCQWpERPPsKgprakJFooauvi6XS0WixKys1D59\nTjVcdyaPiSlpIJ1LxDDDli1rxsY4bh8zZszgLEbdgYtgcXBwAMBb4eFBAkGp1drFSRgRQqZPn75o\n0SLHKaFEItm+ffuiRYuUSuWKW7003wwP5xNiBxa61wy4HsHBwVMnTkyNifHl8cYuXdrct/IHr8lk\ncrGYAq0fuyosnCKRVBw+HMDny/v1e+3kyVp1BeDAnj12z4NYer2+rrqaNWvWbVVXDtIKCt7av59H\nyHS5vBm368zmGrvdZS7Xcx06hAqFU44fh59f++joRj5sju3b19BVhhBwjgB3H1wCljtwEaym4exG\nOf72fPvSS2EiESHklYaP5BzFfampqTk5OcnJyVVVVVeuXPnss88sFkt8fLxUKn1ZIunu41Nstabu\n3t28bbTl84U//xwqFlfa7S6L9j2gqGh2bGykl1ep1fp6axu1L37mGcv+/RFicde4OJcuTQF8vvvy\n6k+OWrmgTZuZp0/PjoycFRGR4nkc61x1NW///nqDiRJJnJ9f7Tfh1507/9Vww+aE1asz4uKcxy/+\n/DMoxe3ImePguP1wESwOjn86n6WkHP7hBxulJW3bujO/V69emzZtSkxMFIlEjj9k//Of/3QPD/9v\ncXFOebksJiY4LKx5Ozm5dm1HobDGbm95wGlmv35BAsHjCQmtq64smzbNjoy8fvhwkECQfPJkQx6Y\n1Xa73b0F60atevbs+edErVzStk8fCjSeUOWSERMnAkBpae3IL7NntxcIusbF1er1j9eubURx/vT+\n+wSwb91ab5zPMC3NZePguHNwAqtpuFgox9+bnB9+CBWJhAyj8cT4SqlUbtq0KT09vUePHgXHjlVc\nvFhF6bbq6o1XrzbD2QHAzhUrbLm5Xjze6EV/FPObzag9edProdVeMpvhaN7jGNdqKxwv9HqwbJ5W\nS3+ZM+ftyMgwkSi3POxouLYZO2mIZJns08mT/Xm8ZyZN0jSafd9eKKRNHRGmpKSkpKQ4OnArlco7\nKK0cTPnmG0caVoqHGuuhGTOq7PZ3bpZ/Aji0Zo2YYYbWMWVoP3Roud2ObdtcrvDYW28xhDBOZlc1\n7spUjj8ProTQfbgjQnfh8tw5/q4EFBUxQmGzc54euvfe+ygt8vU9euNGl9jY0ooKo9E4dOhQkchn\n0aIVUmmgVmvUaGJ1umMs60+pXKc7aDLZNJoYo9FuMu0GwoDcGN8Zo0KKQwSCEqs1aEhP4DpgBXgA\nDxACVQAfuAH46HSlANRqBqCAHRDrdDcAABWAvN2JJ719cyUiUU55z08vLlg08irAB2zARADAcoAB\nqoEbwEXALzOzu8lUqlD4sywaqaWb99RTNDc3TCSyUdrIKWotAoapaUBgUUrrClClUtmrVy/3v9u3\nm5QzZ96OiJgZHj67jqlpk0hjYkoOHXK8nhMZ2U4gmORUoGCj9Pi+fV0aOO9zWRPgx+czzaoV4Lit\ncBnubsIJLHfh0rA4/pasHDkyRChkCGlGzpPZXATQ1ZMmxPr7+zBMv6jJ646FWyzLRaKrpaU8oGjj\nxieBLsBInc4KROl0NuAq0Fmh8DYaYbHkKxSxLFt1aM/WPvmXgwQ+pSLRzx00BVvFUinMZkil0Ouh\nUuHmb6oGq9UAAN6/zJmTu+a4mBE9PGHCxOTkj37fJGSyNQAyM1cBfiwLoxFq9XGNZgAAtfqEQtFZ\npzsHMIAXQAEGYIAaoBzw+88D7yna5OLIEV8er6DKJ+RZtzr2VNvtPq4MovR6/ZEjRwghlNKUlBTm\nrjR5Co6OLjl06MaWLd4PPeTmLU8lJKxNTFw0fLhl//4OQuGExYud51TZ7YKG3m9hIVzp0Q2LF7fc\n8IKjdcnLy+M8GtyENBnH5nAwY8YMTmBx/P34oEuXAD6/pl27+N9+a3ym0WgGqFa7VCptZzb7WCx9\nLZbq+9tsfaLd2hCh8GRF4Nz8bUAxUKNQbC8tNZSWXq6qsgYHiwAbwNPrf7vZAqc+M/v3l5aV8QBF\nWlrPJ55o3htZNmLE1YMH2/L5AX36PFsnZxwAISszM4eoVJ65PT19/1fex+Z08y725/PlMTEzvx+R\nd2MAIAR8gBvAeaB9ZqbU5bHe/KgoESHakycdX1JK6xmEpqSkkLs4NjMzPNyPz596c//ukNG585Wa\nmvZCYVh09EjHIW69CcOG0SNHXB+tFhUtGjgw0SnxbkZ4eLBA4E7IkOPPoaKigos1uA8XweLg+Ody\nYdMmb4axUhrz+uvOVw2Gc1ptHtAZKLdY/IBK4A0AJlOgQvGBRFIqZi5E2zeFCIUlVmvyLkOCrUIq\nDQEAjAHGXL58+cqVKwsWLCgpKRGJRAZD6vz5J8eNGzf41jY1748fH1RczOfzx+7bBx8fSmkzlMf2\nefOuHz4cyOcnLF1Kbl3fbAbQw1N1BaDbWU17PyHAm7R0qdeDD44EAOj1ZpYNMBrLVKo4vf66Wv2u\nWk2BcOBfQDVQAxT583KmySFiGAA5OWfWr19Tu2aPHj3ubKKVm8zOzp4XF4dt29yv4CuyWgP4/Mcm\nTGjI/8zh34HiYgQE1L9GiEuj0bZ8/jOODHoOjr8gnMDyAC4Ni+PvxNG9e7+YOLGTl1dpYGC/J5/U\n66FWb8rMHKrTVZtMjtQlb6A/cFUiCU1Lo0qlFDDUJipdOledMuCxTj4+lXbyyPvvtw0NrVeCGBIS\nEhISsnbt2u3bt5vN5iNHjlgslvnz52/fvj0+Ph6AVCrds3FjxdatIUKhtF+/Zqur5zt2HODn58Uw\n948bR5yaDBqNAKI8WtA0f/72FSsCBYJhkyZ1urVRj0OoSaVSACqVr0r1Wt2rej0UCvSMLK+hdOWF\nC1PIPQAAq7+/qLRUBjyamfkXUFcAEBgoi4l5Z9y417Oz0bC9wi138Pl2oBF32SmffKIbMMCFugJK\n9u51eRRYYbcf2bev+a18OFqbDS3oDv4PhBNYHBz/OMzmEqm0TbdO/WUiUQ2lX+Q8M4VcAnyBvmr1\ndYnkvFJJDAbRrl0Clm0DuP58PfD991KRyJfH83vooR6PP97I42pDVunp6VeuXLFYLOPGjevZs6f5\n9OkzW7YkhIWV22yPfP45gCNHjvRs6ByxAX6YPbu/n5+AYe6Lj+/+2mvOE1QqqNVlQIibC/5v3rw9\nq1b58XiTly1zlmuN4whOPT70nbXbLgIYMkQukQSvX581duzyjAwGEKvVBWp1DVADnMnPf6wFbQBv\nO/+3fv1b4eH27GzGjSDW/Kgofx6vvPGiP4cJSGkp/P3rXcmYMCFYKHS+w4fHi+SKuO8m8vLyuPNB\n97kbUyzvWjjxzvEXxWwuMRqPp6d/r9XmEHJBJisRMWeS+gwQMEyJ1Ro6RK3XE0p9KO1Aqa/Z3EWv\n7wxApzvd0IKns7K2zZsXJhIhOHjURx+5uQ2tVjt//vyqqqrg4GB/f3/Tli2lNtvS8+fJpEmOCZ6q\nq1/mzDnwyScihvHt3dulurrJNDcX3DJ37p5Vq8QMk5id7am6ApCampqamirt2pUA7UJD4+OHr1z5\nfknJDp2uK6WdKZVSKsvPj8rM7JaU9JhcfoGQi4ScJ+QsIbmEbNFoyusteOannwBc3LHj/I4d7w8b\ntn3u3Fek0gmhoVMkEk/31gzkMTHvjBuHoqLGp02VyQL5fNKjBwOgrKyRmRU220FX+e8pZ864jFsy\nwPGGOxhycNzlcBEsdxkxYgQnsDj+QhiNJwF/g6HGYKixWN4DLgEA5iqVX2oYQgAAIABJREFUpWbz\nFVnZh5LKa1YqeDgjQ/OEy0/rS0Zjgwfiy0aMCBeLbZTG/+9/nm5s7dq1AJ4ODe0hFJ6tqIi4776r\nJSUO5wKlUumRxjKuXCkVi8cuXYr7729oTp0GNk3wyciRRQcPChmmGTandZ0XLp87F+vnN3vSpE6u\n0q1kMshkUKmg03UEsHE9Joz5+F8By/14l7Ce9/oGpoZSXx7ParcTQsQMQwAKEIAhZMfhw8ECAQQC\nG6UpEREUKLNaO8fFTf76a0837A7xGzbMjoyc2a9fI5YNU2WyKC+vhGPHALzbqdP6+PhRrjLcHfAI\nMe/f39dpvHrLFue/9TfOmsUQ8iSXg8Xxl4WLYLkLZzfK8ZeAkI0FBZBKdYMGrRw06GedzksiKdZo\n+hcULKHUQGkXvb7r6g9EIcU7AwUCJji4dwNVewoFz2LxNpsrnC/l/PBDmEgkZBhft8v4nWG9vNQh\nId19fFIXLqwdTE1NddlA2iUvduwYJhI9NH58I+oKgE73X6DpDPdXpNKyw4eFDPOyh+rKEbWqO/LB\nK6/cHxDg5tnWNo10Sth7fXxLI8TiYIHAj8dry+czACHkfFWPCpvtREU3S1XbVRcmtB29csbp047/\nUs6ceXTChGq7vS2ff+3gwVkREVNlslek0iajTZ4y4MUXvXi8z1y1GgRgmj8/3MsrYflyx5elVmvu\n3r2NrGYHevfv7zwujItzPlx8KiWFAWpstmZsm+N2wFmMegoXwfKM7OxsTmlx3FUYDDlG42WDwdti\naQf4AoPk8qsAb9euBIOhKD09EAgEouveIios7O7tzQPY6dMbWpZlbSaTt8l0USq9xde7+Pz5719+\nub1QKOrVS71oUfP2/JpM1s3bu9Ju/+bKFQA9e/aklBoMhu3btwcHBzv0SuN28CtGjLinTZsaSuXa\nJr3auwPtG58xVSbr5OVlpfRlTxwBcnJy1q9fX/vlHxsuLhYQkj5+/KsN2RwUF6c991zp4cNihgkR\nCikw/eBB+Po6TywogE6HjAwzQCfPs3269RpQqVC00el82OnTHT++3QsW9Orff358vA8hb8fEVNjt\nVXZ7+uHDLtPJPWXozJlbV6ywOLUaBHB+06YdK1cyQK3AvW6zScVilJQ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uGg3POUxVUADg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Y4WcwLmbb3xYIlxkOaoSdnUqREeHd8+MXcHcBe69HJ5OqIuWnqq4EhCUSSqqhBZhchmBAzR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\nRFGHfVcUKgxY1CscDofNZmMdi4iiSGNjI6eJUqgwYFFvyc/Pz8vLY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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_hplane = X_pol.plot(X3, mapping=Phi4.restrict(U), ranges={r: (0, 1.5)}, nb_values=15, \n", " color='brown', label_axes=False)\n", "show(graph_hyp + graph_Pdisk + graph_spher + graph_hplane, aspect_ratio=1, viewer=viewer3D,\n", " figsize=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us draw the grid of the hyperboloidal coordinates $(r,\\varphi)$ in terms of the half-plane coordinates $(x,y)$:" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "collapsed": true }, "outputs": [], "source": [ "pol_to_hplane = Pdisk_to_hplane * pol_to_Pdisk" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HBwAQHR2N6OjoxopKBqbg0iUcnT0b2cePw3/ECHScOpUXAjUyklYLOQf2SCCZ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xiFGDsRQWRjkEgteLdY8/LgeXIqYIqxhyc1E4YEBKB6BkyBBc+K//Kh8fXC4ElGyBs6EBgfZ2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\nqvOgbBvpzBx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"text/plain": [ "Graphics object consisting of 30 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(X_pol.plot(X_hplane, ranges={r: (0,24)}, style={r: '-', ph: '--'}, nb_values=15, \n", " plot_points=200, color='brown'), xmin=-5, xmax=5, ymin=0, ymax=5, aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solid curves are those along which $r$ varies while $\\varphi$ is kept constant. Conversely, the dashed curves are those along which $\\varphi$ varies, while $r$ is kept constant. We notice that the former curves are arcs of circles orthogonal to the half-plane boundary $y=0$, hence they are geodesics of $(\\mathbb{H}^2,g)$. This is not surprising since they correspond to the intersections of the hyperboloid with planes through the origin (namely the plane $\\varphi=\\mathrm{const}$). The point $(x,y) = (0,2)$ corresponds to $r=0$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We may also depict the Poincaré disk coordinates $(u,v)$ in terms of the half-plane coordinates $(x,y)$:" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+7N9+b2+v5swx2hA/1YZS0lO7vdEhQ0NDWrp0qb73ve8F8rm/7A3P69evlyTt\n379fTm4fSqe94JNOW89kytx999269dZb9dGPflSSdP/992vu3Ll65JFHtGbNmhN+XygUUmNjo1/T\nBDAFNm/erA0bNuhTn/qUJOn73/++Hn30Ud1777265ZZbTvh9jY2NbuwBy2al4bQ3OmT16tVavXq1\nJAXyuZ89Pzipl19+WX19fbriiivGPhaLxfT+979fO3fuPOn3Dg4Oav78+TrzzDP18Y9/XJ1TsTrW\n2+uddur1p7EiUHGOHZf29XjjJBsZGdGuXbsK/v2HQiF9+MMfPum//1wup6VLl+q0007TRz7yEf36\n17+e9LkB5SD84KT6+voUCoU0d+7cgo/PnTtXfX19J/y+9773vbr33nu1bds2PfDAA8pms7r44ot1\n4MCByZ1gb6+0aZO74SeVkvbs8UYrQ0OFo98yWe8th4xbr7zHHB/x2hscH5n0H93f369MJlPUv/+m\npiZt2bJFP/vZz/TQQw/pjDPO0MqVK/XMM89M+vyAUhUVfn784x+rvr5e9fX1isVi+tWvfjVV84KR\nt/4Zj4yU9gt1xYoVWr9+vc477zxdcskleuihh9TY2KgtW7ZM8owdVwmn/bpfKBz9xmmfinLOOefo\nz/7sz7Rs2TKtWLFC//iP/6iLL75Ymzdvtp4aMKao8HPVVVfp2Wef1bPPPqtnnnlGF1xwwVTNa+Ic\n2HDsp7f+GTc0NCiXy+ngwYMFX3fw4EHNmzdvwte/qqpKy5YtG/eUWODk22u0tFjPBFby7SWi0+8+\nWw0NDYpEIif+9y9NaMPvRRddNP3+7VcKRzdcl6uo8FNXV6cFCxaM/VddXdhLxmTHtwMbjk9qkp98\n3/pnvHjxYs2bN0/bt28f+5pkMqnf/OY3uvjiiyd8/bPZrJ5//nk1WbZhmAr59hrcYNJd+fYS0/AG\nezNmzFBra2vBv/9cLqft27d7//6lCW34feaZZ6bu3/40Dp8T4uiG63KVfdrryJEjeuWVV9TT06Nc\nLqfu7m7lcjnNmzfvbe8TYwr40Nvqhhtu0Ne+9jUtXLhQ8+fP16233qrTTz9dV111lRe8JF17221q\nPu883XHHHZKkr371q1qxYoUWLlyoo0eP6q677tIrr7yi66+/fkrnCmByfeELX9B1112n1tZWXXTR\nRdq8ebOGh4d13XXXSZL+euPtOrCnW/f99CeSvNOhZ599ts4991yl02ndc889euKJJ/SLX/xiaiZI\nbzMTQ0PQCaToAAAdhUlEQVRDevHFF8dOeu3du1fPPvusZs+erTPOOMN4duMrO/xs27ZNf/Inf6JQ\nKKRQKKR169ZJkm6//XbddtttZU+w4lVCY8kpdsstt2h4eFgbNmzQ0aNHdckll+ixxx7TzJkzx77m\n1YMHFXnTBsgjR47oM5/5jPr6+nTqqaeqtbVVO3fu1KJFiyweAoASrVmzRv39/brtttt08OBBLV26\nVD//+c/HbmPRd/CgXj30n2+LHT9+XDfddJMOHDigaDSq8847T9u3b9ell15q9RCmlqONdZ9++mld\nfvnlY8/9N910kyTp2muv1b333ms8u/EFv7cXvZVsWV9/6/rWKuDxJ5/YofiHVirx7/9bscsv838C\nrvfWsn781vVdx/UvyfR7kxpucb2rPEBXb6BoZb/tBZhavNi7zw3gqrpa6cIl1rMAAoXwAwRZ/rTf\nggV2c1h0TuHot/xpn5rq8b8WADQd3vZyYMNxRXP9+lu316iEo/Z1dYWj36yPmk9he4lAcHTDb8Xg\n+pck+BueXdfbK23ZIm3Y4G4AsVQBG46tJZNJxeNxJRIJNxpZvhUbTm0dOy71vi41NUrVM8f/ekDT\nYeXHda73tgLgtinsbYbpi/BTrkpoLAkAsOF6Y92AIvyUqxIaSwIVYO3atWpra1N7e7v1VAD/0Fg3\nkDjtBWBSPPjgg27u+QEQOKz8INgm2FUemLbo6g0UjfCDYJtgV/lpy/qovSS91lM4+s31o+Z09QaK\nFvzww4ZjW65ff+v2GpVw2u/gocLRb9anfVxvL8GGX1tc/5JM7p6f4WGpu3tSf+S4urqk9eulrVu9\nu936Lb/R2WrD89693t199+61qe/69Zekf/onb+Wpo8P/2pXw+F95xRuPjXj3vPFbfqOp5YbTRWd7\nKy8uPv7hlNS9T1o037vbtt9Sx6Samd5oweXrH62RIhF/a06Syb3JYf6GbwCckbzsCsV3bFfi0ScU\nq5tlPR0AfgnwjT0nd+Vn0SLvTrd+qoSVB8v61qwfv3V9a5Xw+J/fI+3YLoVHvV+GfrNeebBm/fit\n61uzfvzWKz8BNbnhJxq1u8V/S4tN7Tc3lrTsr2TN6vpXSn1rlo8/MeCN1TNsXwVGawP7KnRSWD9+\n6/pWorXSBXVeY12r/nL5ebh4/UvEfX7KlW8sCQBwT76xLgLF0eMJmDZc7yoP0NUbKBorPwi2pibv\nPjeusj5qL0nV1YWj31w/al49U5rfbD0LIFAIP0CQLV7s3WfJ0pLFhaPf6mqlC5fY1AYQSMF/qZTf\ncOziSZ9K4Pr1p70GXG8vEa2VLjjXzZNelYDrX5Lgh5/8hmNXT1pZP/m6fv1db68B2kvkN/xanXRy\nPXxaX/+A4moFHU++AFzmevhESQg/5aqExpIAABuuN9YNKMJPuSqhsSQAwIZ1Y12UhPCDYHO9qzxA\nV2+gaIQfBFtXl7RkiW1Xc8DScEp6eo9tV3sgYAg/QJBZn/aTpN2dhaPfXD/tA6BowQ8/bDi25fr1\nt26vUQmn/Y4dKxz9Zn3ax/X2Emz4tcX1L8n0CD8ubzi2fvLl+nvhj95i7sq3l6ieaT0TG9Ybfl0P\nn9bXP6BobxF0rve2AuA2epuhBMFf+bFWCY0lAQA2XG+sG1Cs/JSrEhpLAgBs0Fg3kIiqACbF2i9/\nSW1tbWpvb7eeCgCcFCs/CLZ8V/kFC6xn4rwHv36HYpdfZj0N9+S7etdUW88ECAzCD4It31XeVdan\n/SRp7pzC0W+un/bJd/UGMGHBDz9sOLbl+vVPpaS9e72Vp1qDJ6BKOO13enPh6Dfr0z6ZrJQ+5q28\nRBzcScCGX1tc/5KEcrlcznoSKIP1k6/rOjqk1lZp1y5p+XLr2ZhIJpOKx+NKJBKKxWLW0/HfwJDU\n0SUtb5Hq66xn4x7XwydKwt+UoKO3FQCX0dsMJSD8AAAApxB+ylUJjSUBADZorBtIhJ9yVUJjSQCA\nDevGuigJ4QfB5npXeYCu3kDRCD8INte7yqdSXnuVlOGS+9BQ4ei3TNZ7yyHj6CtvunoDRSP8AEFW\nCaf9ul8oHP3GaR8ARfLvJofDw1J39+T/3L17pS9+UbrzTpsWB/knHasnH+v6rl//dFr653/2xo4O\n/+tbP35JeuUVbzw24t3zxm/50GMVfrJZqWWBN7r4+FPHpJdfk84+Xao1aLFh/fit60/19Y/WSJHI\n5P9cY/7d5DB/MzgA00rysisU37FdiUefUKxulvV0AEymaXrzTv9WfhYt8u6CO9m6uqT166WtW70m\nl36zrm/N+vFb17dWCY//+T3Sju1SeNT7Rem34ZTUvU9aNN9r8uka68dvXd+a9eOf6vrR6dm6yL/w\nE41O7e3/W1ps2gvkG0t+6EO2zSWtWV3/SqlvzfLxJwa8sXqG7SvEaO20fIU6YdaP37q+lXxj3VNi\nXp85K65e/xIFv7GptUpoLAkAsGHdWBcl4bQXgs31rvIAXb2BorHyg2BbvNi7zw3gqrpa6cIl1rMA\nAoXwAwRZS4u0e7fNbQbyFp1TOPotWitdcK5UY3DMGkAgBX+dNL/h2OXNxpZcv/7W7TVqa73GurWG\np2zq6gpHv0XC3upHxOjXmevtJfIbfmfOsJ6Jm7j+JfHvPj+YGr290pYt0oYN7gYQS/n7V+3a5exp\ns2QyqXg8rkQioVgsZj0d/w0MSR1d0/Z+KBXv2HGp93WpqdH2tBUCJfgrP65zvbcVALfR2wwlIPyU\nqxIaSwIAbLjeWDegCD/lqoTGkgAAGzTWDSTCD4BJsXbtWrW1tam9vd16KgBwUhx1R7B1dkqf/KT0\n05969/yBmQcffNDNDc/WhlJS50vS4nd7p94AjIuVHwRbOu0FoHTaeiY2rI/aS9JrPYWj31w/ap7N\nSsNpbwQwIcEPP2w4tuX69bdur1EJp/0OHioc/WZ92sf19hJs+LXF9S9J8P+1ur7h2PrJ1/Xrn2+v\nwVtu7sq3l3D1LSfrDb+uh0/r6x9Q7PkJOnpbAXAZvc1QAkejMgAAcBUrP+WqhMaSAAAbNNYNJMJP\nufKNJQEA7sk31kWg8LYXgs31rvIAXb2BorHyg2BravLuc+Mq69N+klRdXTj6zfXTPtUzpfnN1rMA\nAoXwAwRZJZz2W7K4cPQbp30AFCn4L5XyG45bWqxn4ibXr39np7fnq7PTeiawMpSSntrtjS7Kb/iN\nsu/FBNe/JMEPP/kNx7WO/sFbP/m6fv1db68B2kvkN/xGjJ5OXA+f1tc/oLhaQceTLwCXuR4+URLC\nT7kqobEkAMCG6411A4rwU65KaCwJALBh3VgXJSH8INhc7yoP0NUbKBrhB8Hmeld5gK7eQNEq8z4/\nw8NSd7f1LCYm/6Rr9eRrXd+a9eO3rr93r/TFL0p33mnXX67rBW98qkO66EL/66eOSS+/Jp19ulRr\ncKPFfOiwCh/W9a1ZP37r+qWI1kiRiPUsTIVyuVzOehJv09EhtbZazwLABCQvu0LxHduVePQJxepm\nWU8HwHiWt0j1ddazMFWZKz+LFkm7dk3sa7u6pPXrpa1bbW60Z13/9delhx6SPvEJqbHR//rWj9+6\nvrVKePzP75F2bJfCo94vVb8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"text/plain": [ "Graphics object consisting of 64 graphics primitives" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_Pdisk_cart.plot(ranges={u: (-1, 0), v: (-1, 0)}, \n", " style={u: '-', v: '--'}) + \\\n", "X_Pdisk_cart.plot(ranges={u: (-1, 0), v: (0., 1)}, \n", " style={u: '-', v: '--'}, color='orange') + \\\n", "X_Pdisk_cart.plot(ranges={u: (0, 1), v: (-1, 0)}, \n", " style={u: '-', v: '--'}, color='pink') + \\\n", "X_Pdisk_cart.plot(ranges={u: (0, 1), v: (0, 1)}, \n", " style={u: '-', v: '--'}, color='violet')" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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v4ecHI0bAiy/K4MAiRcxliYuTA9xr1shj+3bZihQaCi1bSqGTnq5FgavIVQBa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\n2oP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"text/plain": [ "Graphics object consisting of 64 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(X_Pdisk_cart.plot(X_hplane, ranges={u: (-1, 0), v: (-1, 0)}, \n", " style={u: '-', v: '--'}) + \\\n", " X_Pdisk_cart.plot(X_hplane, ranges={u: (-1, 0), v: (0, 1)}, \n", " style={u: '-', v: '--'}, color='orange') + \\\n", " X_Pdisk_cart.plot(X_hplane, ranges={u: (0, 1), v: (-1, 0)}, \n", " style={u: '-', v: '--'}, color='pink') + \\\n", " X_Pdisk_cart.plot(X_hplane, ranges={u: (0, 1), v: (0, 1)}, \n", " style={u: '-', v: '--'}, color='violet'),\n", " xmin=-5, xmax=5, ymin=0, ymax=5, aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expression of the metric tensor in the half-plane coordinates $(x,y)$ is" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = y^(-2) dx*dx + y^(-2) dy*dy" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_hplane.frame(), X_hplane)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Summary\n", "\n", "9 charts have been defined on $\\mathbb{H}^2$:" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[Chart (H2, (X, Y)),\n", " Chart (U, (X, Y)),\n", " Chart (U, (r, ph)),\n", " Chart (U, (R, ph)),\n", " Chart (H2, (u, v)),\n", " Chart (U, (u, v)),\n", " Chart (U, (th, ph)),\n", " Chart (H2, (x, y)),\n", " Chart (U, (x, y))]" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H2.atlas()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are actually 6 main charts, the other ones being subcharts:" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[Chart (H2, (X, Y)),\n", " Chart (U, (r, ph)),\n", " Chart (U, (R, ph)),\n", " Chart (H2, (u, v)),\n", " Chart (U, (th, ph)),\n", " Chart (H2, (x, y))]" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H2.top_charts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expression of the metric tensor in each of these charts is" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = (Y^2 + 1)/(X^2 + Y^2 + 1) dX*dX - X*Y/(X^2 + Y^2 + 1) dX*dY - X*Y/(X^2 + Y^2 + 1) dY*dX + (X^2 + 1)/(X^2 + Y^2 + 1) dY*dY" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = 1/(r^2 + 1) dr*dr + r^2 dph*dph" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/((R + 1)^2*(R - 1)^2) dR*dR + 4*R^2/((R + 1)^2*(R - 1)^2) dph*dph" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/(u^2 + v^2 - 1)^2 du*du + 4/(u^2 + v^2 - 1)^2 dv*dv" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = cos(th)^(-2) dth*dth + sin(th)^2/cos(th)^2 dph*dph" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = y^(-2) dx*dx + y^(-2) dy*dy" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for chart in H2.top_charts():\n", " show(g.display(chart.frame(), chart))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For each of these charts, the non-vanishing (and non-redundant w.r.t. the symmetry on the last 2 indices) **Christoffel symbols of $g$** are" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (H2, (X, Y))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Gam^X_XX = -(X*Y^2 + X)/(X^2 + Y^2 + 1) \n", "Gam^X_XY = X^2*Y/(X^2 + Y^2 + 1) \n", "Gam^X_YY = -(X^3 + X)/(X^2 + Y^2 + 1) \n", "Gam^Y_XX = -(Y^3 + Y)/(X^2 + Y^2 + 1) \n", "Gam^Y_XY = X*Y^2/(X^2 + Y^2 + 1) \n", "Gam^Y_YY = -(X^2 + 1)*Y/(X^2 + Y^2 + 1) " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Chart (U, (r, ph))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Gam^r_r,r = -r/(r^2 + 1) \n", "Gam^r_ph,ph = -r^3 - r \n", "Gam^ph_r,ph = 1/r " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Chart (U, (R, ph))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Gam^R_R,R = -2*R/(R^2 - 1) \n", "Gam^R_ph,ph = (R^3 + R)/(R^2 - 1) \n", "Gam^ph_R,ph = -(R^2 + 1)/(R^3 - R) " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Chart (H2, (u, v))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Gam^u_uu = -2*u/(u^2 + v^2 - 1) \n", "Gam^u_uv = -2*v/(u^2 + v^2 - 1) \n", "Gam^u_vv = 2*u/(u^2 + v^2 - 1) \n", "Gam^v_uu = 2*v/(u^2 + v^2 - 1) \n", "Gam^v_uv = -2*u/(u^2 + v^2 - 1) \n", "Gam^v_vv = -2*v/(u^2 + v^2 - 1) " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Chart (U, (th, ph))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Gam^th_th,th = sin(th)/cos(th) \n", "Gam^th_ph,ph = -sin(th)/cos(th) \n", "Gam^ph_th,ph = 1/(cos(th)*sin(th)) " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Chart (H2, (x, y))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Gam^x_xy = -1/y \n", "Gam^y_xx = 1/y \n", "Gam^y_yy = -1/y " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for chart in H2.top_charts():\n", " show(chart)\n", " show(g.christoffel_symbols_display(chart=chart))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 6.10.beta7", "language": "", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }