{ "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/) (v0.9.1) on computations regarding the hyperbolic plane.*\n", "\n", "Click [here](https://raw.githubusercontent.com/sagemanifolds/SageManifolds/master/Worksheets/v0.9.1/SM_hyperbolic_plane.ipynb) to download the worksheet file (ipynb format). To run it, you must start SageMath with the Jupyter notebook, via the command `sage -n jupyter`" ] }, { "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 (use `'jmol'` for interactive 3D graphics):" ] }, { "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": "iVBORw0KGgoAAAANSUhEUgAAArwAAAK8CAIAAACC2PsUAAAABGdBTUEAAYagMeiWXwAAADZ0RVh0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\nrkJggg==\n", "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": [], "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": "iVBORw0KGgoAAAANSUhEUgAAArwAAAK8CAIAAACC2PsUAAAABGdBTUEAAYagMeiWXwAAADZ0RVh0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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": [ { "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": "iVBORw0KGgoAAAANSUhEUgAAArwAAAK8CAIAAACC2PsUAAAABGdBTUEAAYagMeiWXwAAADZ0RVh0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\n4JocLgAAAABJRU5ErkJggg==\n", "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": [ { "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": "iVBORw0KGgoAAAANSUhEUgAAArwAAAK8CAIAAACC2PsUAAAABGdBTUEAAYagMeiWXwAAADZ0RVh0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\nqS4AgO7Ozs6++eabH3/8kcQAOO7/M1BMmsCd9sYAAAAASUVORK5CYII=\n", "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": [ { "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": "iVBORw0KGgoAAAANSUhEUgAAArwAAAK8CAIAAACC2PsUAAAABGdBTUEAAYagMeiWXwAAADZ0RVh0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\nMM1Br6kAAAAASUVORK5CYII=\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAJFCAYAAAA1V0iFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "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": [ { "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": "iVBORw0KGgoAAAANSUhEUgAAArwAAAK8CAIAAACC2PsUAAAABGdBTUEAAYagMeiWXwAAADZ0RVh0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\n", "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": [ { "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": "iVBORw0KGgoAAAANSUhEUgAAAyAAAAMgCAIAAABUEpE/AAAABGdBTUEAAYagMeiWXwAAADZ0RVh0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\nyQAAAABJRU5ErkJggg==\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAw8AAAGwCAYAAADv31lfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUgAAAABJRU5ErkJggg==\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAj8AAAJFCAYAAAAyFZaQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzt3X903GWd9//XZNLmVzMDpWkbUqAU1CREgQawKj9Ftt1d\nCR5hays9iCu39eB396gseI4rtF3Fs1137e0PjoAuK9zFoO4id/dG4Pjt+gX1ris0CJYkN5a0hYak\nkP6YSTIzbTIz3z8+92QdaJvMTPJ5zyfX83EO5zok6byv+bTJvHLNdX3eoWw2mxUAAIAjKqwnAAAA\n4CfCDwAAcArhBwAAOIXwAwAAnEL4AQAATiH8AAAApxB+AACAUwg/AADAKYQfAADgFMIPAABwCuEH\nAAA4hfADAACcQvgBAABOIfwAAACnEH4AAIBTCD8ACpJIJPTZz35WN954o6655hqNjIxMfG7Lli1a\nuHChXn/9dcMZAsDJEX4AFGTjxo36m7/5G33ve9/T9u3b9eCDD0587tVXX9XBgwe1Y8cOwxkCwMkR\nfgBM2euvv65QKKSzzz5bzzzzjCRp4cKFE5+/++67deaZZ6qurs5qigAwKcIPgCl7/fXX9alPfUqS\n9PDDD+vUU0/VtddeO/H52tpafeADH9AFF1xgNUUAmFSl9QQABMdFF10kSRoZGdFPf/pTfepTn1J1\ndXXe18ybN0+LFy+2mB4ATAkrPwAK9vjjjyuZTOqGG27I+/gbb7yhBQsWGM0KAKaG8AOgYDt37lRF\nRYVWrFiR9/F/+Zd/0bp164xmBQBTQ/gBULBUKqWGhgbNmTNn4mMHDx7U/v371dzcbDgzAJgc4QdA\nwa666ioNDQ1pYGBAkheGbr/9dn35y182nhkATC6UzWaz1pMAEDzf+ta39O///u8699xzlU6ndccd\nd+jcc8+1nhYATIrwAwAAnMLbXgAAwCmEHwAA4BTCDwAAcArhBwAAOIXwAwAAnEL4AQAATiH8AAAA\npxB+AACAUwg/AADAKYQfAADgFMIPAABwCuEHAAA4hfADoCTZbFbxeFz0SAYQFIQfACUZHh5WNBrV\n8PCw9VQAYEoIPwAAwCmEHwAA4BTCDwAAcArhBwAAOIXwAyDPL3/5S3V0dKipqUkVFRXatm2b9ZQA\nYFoRfgDkGR0d1QUXXKB77rlHoVDIejoAMO0qrScAoLysWrVKq1atkiTu3QNgVmLlBwAAOIXwAwAA\nnEL4AQAATmHPD4CSZIYGJUnnnrNMFeFKNTU1qampSZK0du1arV271nJ6APA2hB8AJckcPiRJ6n3y\nf2l++wrj2QDA5Ag/APKMjo5q9+7dEye9+vr69MILL2j+/Pk644wzjGcHAKVjzw8QZMkB6cWN3jhN\nnnvuOV144YVqb29XKBTSbbfdpuXLl2vDhg3TVmM6ZYYzSj6dVGY4Yz0VAAHByg8QZMkBadcmaUmH\nVNM4LQ95xRVXKJMJTpDIjGSUeialOe+co4p6fp8DMDl+UgAAAKcQfoAgq2mU2jZM26pPMSpOnZ83\n+l5/XoWqL69WxTx+nAGYmlCW+9cDKEE8Hlc0GlUsFlMkErGeDgBMil+VAACAUwg/AADAKYQfAADg\nFMIPAABwCuEHAAA4hfADAACcQvgBSjGelI685I0u1peUTSbyRt/rj2WVfiOt7JjNXTus6wMoHOEH\nKEW8R/pZmze6WF9Sev/evNH3+kNpxe+LKz2UdrI+gMIRfgAAgFMIPwAAwCmEHwAA4BTCDwAAcArh\nBwAAOIXwg2BLDkgvbvRGwEGZ4YySTyeVGc5YTwUIDMIPgi05IO3aRPiBszIjGaWeSSkzQvgBpiqU\nzWa5MxeCazwpjfRJ85ZJlTXUNxA7MKhTFjfqyOCAoosW+14/O5ZV5nBGFadWKDQnRH0AkyL8AChJ\nPB5XNBpVLBZTJBKxng4ATIq3vQBMizVr1qijo0OdnZ3WUwGAk2LlB0BJWPkBEDSs/AAAAKcQfgAA\ngFMIPwAAwCmEHwAA4JRK6wlgFhtPSPHema2RelN67VHpjI9K1Q0zW4v6x5Xu824weaz7VY2f1ex7\n/Uwio7GeMc1pmaOKWv9/n3OpfnhBmHsJYVbgtBdmzqEu6cl261lghr35RocWfn6b9n5pryLVnPaa\nzepvqVdlI78zI/j4V4yZE2mWVu2c2RqxHmnHOul9W6Voy8zWov5xVfzuFUnbVHvF66p/d5Pv9dND\naSUeS6j2I7UKLwhTfwZZPD9gJhB+UJrkgPSH+6R3rJdqGvM/V1krzV/uzzyiLf7Von6eUPSYJCl8\nWsh0VSC8IEx9g/qZ4YyOdh1V1fIqVdSzjRTBwL9UlIbGooDTaKyKICL8AAAApxB+AACAUwg/AADA\nKYQflCZcLUVbvZH67tWXFKqcmzf6Xz+kigUVClXa3H+G+rb1gWJwnx8AJaGrO4CgYeUHAAA4hfAD\nAACcQvgBAABOIfwAAACnEH4AAIBTCD8AAMAphB8AAOAUwg9KE+uWHj/PG6nvXn1J6T2780bf67+Z\nVuy7MaXfTFPfwfpAMQg/KE065b3wplPUd7G+pOz4sbzR//pZZYYyyo7b3K+V+rb1gWIQfgAAgFMI\nPwCmxY2fv10dHR3q7Oy0ngoAnFSl9QQAzA4Pb/m65revsJ4GAEyKlR8AAOAUwg8AAHAK4QcAADiF\n8IPS1DRKbRu8kfru1ZdUcer8vNH3+vMqVH15tSrm2fw4o75tfaAYoWw2y80ZABQtHo8rGo0qFosp\nEolYTwcAJkVUBwAATiH8AAAApxB+AACAUwg/AADAKYQfAADgFNpbBMV4Qor3Ws8CeJvsoVFJ0nj/\niMZHa41nA+QLLwgrNCdkPQ2UGcJPUMR7pSfbrWcBvM344QslScNbxxSqHjaeDZCv/pZ6VTbyUod8\n/IsIikiztGrn2z8e65F2rJPet1WKtvg/L+q7XV+SfveKpNWqveJ11b+7yffy6aG0Eo8lVPuRWoUX\nhKlP/TwWc0L5I/wERWWtNH/5iT8fbTn552ca9Z2tH4oekySFTwuZ/oYdXhCmPvXN6iNY2PAMAACc\nQvgBAABOIfwAAACnEH4AAIBTCD8AAMAphB8AAOCUUDabzVpPAiUYT0ojfdK8ZVJlDfWp77vYgUGd\nsrhRRwYHFF202Pf62bGsMoczqji1wuROvtR3uz6CifADoCTxeFzRaFSxWEyRSMR6OgAwKd72AgAA\nTiH8AAAApxB+AEyLNWvWqKOjQ52dndZTAYCTYs8PgJKw5wdA0LDyAwAAnEL4AQAATiH8BF1yQHpx\nozdSn/oGMkODeaPv9YczSj6dVGY4Q33qA1NC+Am65IC0a5Ptiy/13a0vKXP4UN7oe/2RjFLPpJQZ\nMXrxpb7T9RFMhB8AAOAUwg8AAHAK4QcAADiF8AMAAJxC+AEAAE4h/AAAAKcQfoIuXC1FW72R+tQ3\nEKqcmzf6Xz+kigUVClWGqE99YEro7QWgJPT2AhA0rPwAAACnEH4AAIBTCD8AAMAphB8AAOCUSusJ\nBMp4Qor3Ws8CKCvZQ6OSpPH+EY2P1hrPBigf4QVhheZwCq0cEX4KEe+Vnmy3ngVQVtJHzpMkDW8d\nU6h62Hg2QPmov6VelY28zJYjjroXgpUf4G1ih0Z1yjsu18HufkVOWWg9HaBssPJTvoikhaisleYv\nz/9YrFv61V9Il/7Eu9mc36hPfcv6kjKvdUmSQscGVdl4uu/102+mNfKvI5p3wzyFG8LUp75T9VEc\nNjyXKp3yXoDSKepT3736krLjx/JG/+tnlRnKKDtus4hNfepb1kdxCD8AAMAphB8AAOAUwg+AaXHj\n529XR0eHOjs7racCACfFhmcA0+LhLV/X/PYV1tMAgEmx8gMAAJxC+AEAAE4h/JSqplFq2+CN1Ke+\na/UlVZw6P2/0vf68ClVfXq2KeTY/zqhPfcv6KA53eAZQkng8rmg0qlgspkgkYj0dAJgUURUAADiF\n8AMAAJxC+AEAAE4h/AAAAKcQfgAAgFMIPwAAwCmEn1KNJ6UjL3kj9anvWn1J2WQib/S9/lhW6TfS\nyo7Z3LWD+tS3rI/iEH5KFe+RftbmjdSnvmv1JaX3780bfa8/lFb8vrjSQ2nqU9+5+igO4QcAADiF\n8AMAAJxC+AEAAE4h/AAAAKcQfgAAgFMIPwAAwCmEHwAA4JRQNpvlzkylGE9KI33SvGVSZQ31qV92\n9e+55x794z/+owYHB3X++efr29/+ti6++OLjfu2DDz6oT37ykwqFQsr9aKiurlYiceIbGMYODOqU\nxY06Mjig6KLFpT+nAmXHssoczqji1AqF5oSoT32n6qM4ldYTCLzKGumU86hP/bKs/6Mf/Ui33Xab\n7r//fl1yySXasmWLVq5cqZdfflkLFiw47p+JRqN6+eWXJ8JPKHTyH+ihmtq80W+hOSGFF4ZNalOf\n+tb1URze9gJmsS1btmj9+vW66aab1NzcrHvvvVe1tbV64IEHTvhnQqGQGhoatHDhQi1cuFANDQ0+\nzhgAZh7hB5ilxsbGtHPnTl199dUTHwuFQvrQhz6kHTt2nPDPjYyMaOnSpTrzzDP1kY98RN3d3X5M\nFwB8M7ve9hpPSPFe61kAZWFo8E2l02ktqj4sHeqa+PiiiPR/Xnol72M571osPfCtu/Se896hWHxE\nX//OQ3r/+96rl379EzWdvvC4dbKHRiVJ4/0jGh+1eesLcFF4QZh9RkWaXeEn3is92W49C6A8HP6/\n429ulob+68PZPikU03G/V1ZIWhGR9Jr3/+/7uNTyvHT/XX+qTTccv0z6iLfn6F0Xn6+QQmqMNOr0\nyOmSpOvffb2uf8/10/FsALxF/S31qmycXS/jfpldVy3SLK3aaT0LoCwsGBtT+HMf0IFzvi6tumLi\n42/8+wYteseItOqfJn2MSkkX/tsXtTtcKa26+7hfEz40Kuly/Z9nX1DklOOvDgGYfuEFbLQu1uwK\nP5W10vzl1rMAysIcSe3tF2n7b/eq48bPS5Ky2ay2/+p3+uu//uspfa9kMhnterlff/Znf3bCrw9V\nxiVJlU3zVBmZXT9SAMxObHguVXJAenGjN1Kf+mVW/wtf+ILuv/9+PfTQQ+rt7dVnPvMZJRIJ3Xzz\nzZKkm266SV/60pcmvv4rX/mKfv7zn2vPnj16/vnndeONN2rfvn265ZZbTjiFzNBg3ui3zHBGyaeT\nygxnqE995+qjOISfUiUHpF2bbF/8qE/9E9RfvXq1/umf/kl33XWXLrzwQr344ot66qmnJo6v79+/\nX4OD/xVaDh8+rE9/+tNqbW3Vn//5n2tkZEQ7duxQc3PzCaeQOXwob/RbZiSj1DMpZUaMXvyoT33D\n+igOa9TALHfrrbfq1ltvPe7n/uM//iPv/7/xjW/oG9/4hh/TAgAzrPwAAACnBD/8WO+5AADACHuO\nijM7wo/lngsAAIyw56g4wQ8/AAAABSD8AAAApwQ//ISrpWirN1Kf+tT3Xahybt7of/2QKhZUKFRp\n0+OI+tR3uX5QhbLZbNZ6EgCCKx6PKxqNKhaLKRKJWE8HACYV/JUfAACAAhB+AACAUwg/AADAKYQf\nAADgFMIPAABwCuEHAAA4hfADAACcEvzwE+uWHj/PG6lPfer7Lr1nd97oe/0304p9N6b0m2nqU5/6\nmJLgh590yvvBn05Rn/rUN5AdP5Y3+l8/q8xQRtlxm/u1Up/6LtcPquCHHwAAgAIQfgAAgFMIPwAA\nwCmEHwAA4BTCD4BpcePnb1dHR4c6OzutpwIAJ1VpPQEAs8PDW76u+e0rrKcBAJMK/spPTaPUtsEb\nqU996vuu4tT5eaPv9edVqPryalXMs/lxRn3qu1w/qELZbJabAwAoWjweVzQaVSwWUyQSsZ4OAEyK\nqAgAAJxSnnt+xhNSvNd6FgCmIHtoVJI03j+i8dFa49kAmEx4QVihOSHraZgqz/AT75WebLeeBYAp\nSB85T5I0vHVMoeph49kAmEz9LfWqbCzPl3+/lOeeH1Z+gMCIHRrVKe+4XAe7+xU5ZaH1dABMgpWf\ncl35qayV5i+3ngWAKQhVxiVJlU3zVBkpzx8pAPDH2PAMAACcEvzwM56UjrzkjdSnPvV9l00m8kbf\n649llX4jreyYzTv41Ke+y/WDKvjhJ94j/azNG6lPfer7Lr1/b97oe/2htOL3xZUeSlOf+tTHlAQ/\n/AAAABSA8AMAAJxC+AEAAE4h/AAAAKcQfgAAgFMIPwAAwCmEHwAA4JTy7O1ViPGkNNInzVsmVdZQ\nn/rU91nswKBOWdyoI4MDii5a7Hv97FhWmcMZVZxaYdKviPrUd7l+UAU//AAwFY/HFY1GFYvFFIlE\nrKcDAJPibS8AAOAUwg8AAHAK4QcAADiF8AMAAJxC+AEwLdasWaOOjg51dnZaTwUATorTXgBKwmkv\nAEET/JWf5ID04kZvpD71qe+7zNBg3uh7/eGMkk8nlRnOUJ/61MeUzI7ws2uT7YsP9anvan1JmcOH\n8kbf649klHompcyI0YsP9anvcP2gCn74AQAAKADhBwAAOIXwAwAAnEL4AQAATiH8AAAApxB+AACA\nU4IffsLVUrTVG6lPfer7LlQ5N2/0v35IFQsqFKoMUZ/61MeUcIdnACXhDs8AgqbSt0rjCSne61s5\nAP7IHhqVJI33j2h8tNZ4NgCmU3hBWKE5s29Vyb/wE++Vnmz3rRwAf6SPnCdJGt46plD1sPFsAEyn\n+lvqVdnoX1Twi39ve7HyA8xKsUOjOuUdl+tgd78ipyy0ng6AacTKT8mVaqX5y30rB8Afocq4JKmy\naZ4qI7PvN0QAs0/wT3sBAAAUgPADAACcQvgBAABOCX74iXVLj5/njdSnPvV9l96zO2/0vf6bacW+\nG1P6zTT1qU99TEnww0865f3gT6eoT33qG8iOH8sb/a+fVWYoo+y4zf1aqU99l+sHVfDDDwAAQAEI\nPwAAwCmEHwAA4BTCDwAAcArhBwAAOIXwA2Ba3Pj529XR0aHOzk7rqQDASYU3bty40XoSJaucJy26\nUppTT33qU99nR1MJbf7Wd/TsL36uT976/+jd736373MIzQ1pzllzFKqyacBIfeq7XD+I/OvqDmBW\nisfjikajisViikQi1tMBgEnxthcAAHAK4QcAADiF8AMAAJxC+AEAAE4h/AAAAKcQfgAAgFOCH37G\nk9KRl7yR+tSnvu+yyUTe6Hv9sazSb6SVHbO5awf1qe9y/aAKfviJ90g/a/NG6lOf+r5L79+bN/pe\nfyit+H1xpYfS1Kc+9TElwQ8/AAAABSD8AAAApxB+AACAUwg/AADAKYQfAADgFMIPAABwCuEHAAA4\nJZTNZqfvzkjjCSneO20PNyXplJTol2qbpHC1v7WpT33X60s6MnBYp7Z9SEPP71F00RLf62fHs8oM\nZ1RRX6FQZYj61Ke+T8ILwgrN8f85T4fKaX20eK/0ZPu0PiSA8pY5cp4kaeQnIVVUDxvPBoBf6m+p\nV2Xj9MYIvwR/5QeAqdihUZ3yjst1sLtfkVMWWk8HgE9Y+Zl4tFpp/vJpfUgA5S1UGZckVTbNU2Uk\nmL8FAnALG54BAIBTCD8AAMAphB8AAOAUwg8AAHBK8MNPckB6caM3Up/61PddZmhQkvSxj35EHR0d\n6uzs9Lf+cEbJp5PKDGd8rUt96lM/uGZH+Nm1yfbFh/rUd7W+pMzhQ5Kkhzd/Tdu2bdPatWv9rT+S\nUeqZlDIjRi8+1Ke+w/WDKvjhBwAAoACEHwAA4BTCDwAAcArhBwAAOIXwAwAAnEL4AQAATgl++AlX\nS9FWb6Q+9anvu1Dl3LzR//ohVSyoUKjSprs09anvcv2gCmWz2az1JAAEVzweVzQaVSwWUyQSsZ4O\nAEwq+Cs/AAAABSD8AAAApxB+AACAUwg/AADAKYQfAADgFMIPAABwCuEHAACUpWQyqb/6q7/SjTfe\nqGuuuUYjIyN5n//mN7+pSy65pODHDX74iXVLj5/njdSnPvV9l96zO2/0vf6bacW+G1P6zTT1qU/9\nWeYrX/mKPve5z+l73/uetm/frgcffDDv89///veVSCQKftzgh590yvvBn05Rn/rUN5AdP5Y3+l8/\nq8xQRtlxm/u1Up/6LtefSUNDQzp27JjOOecc/frXv5YkLVy4cOLzhw4dUnd3tz74wQ8W/NjTEn46\nOzun42EQUJ3/23oGACz924v/Zj0FGJqpDNDf36+//Mu/lCQ99NBDikaj+vCHPzzx+WeeeUbZbFZX\nXnllwY9N+EHJOndYzwCApX/7PeHHZTOVAc4//3y1trYqlUrpscce08c+9jHV1NRMfP7pp59WRUWF\nrrjiioIfO/hvewEAgFnrySefVCKR0A033JD38V/+8pdqa2vTaaedVvBjBir8+LHC5Ncq1myq039o\nxktIml3XbDY9F7/Mtms2m/6dvR5/3Zc6s+mazaY6/f39M/r4zz33nMLhsC677LKJjw0PD+uFF16Y\n2O/zr//6rxodHZ3yYxJ+DGrMtjr9h2e8hKTZdc1m03Pxy2y7ZrPp39lAfMCXOrPpms2mOjMdfo4c\nOaKGhgZVVVVNfGz79u1Kp9O69NJLJUmPPvqo6urqpvyYlVP5omw2q+Hh4RN+fnx8XPF4XIoflHr+\n3ykXL9T4m/sU//n38j94dJ+UkPS/H5Wqds5MjZMpsn7BdYqsP211TlI/m5Xi03T9T8aPv/8T1jkR\n1//+JcX3HZEkHXn5iBSeuR+CY7GUDv3u7Y+fPpxVIpXWeO+owgdCM1bnRIqtX2idYupPV43J6meV\n1eHewWm5/idzvOfD3//J6/vxbyAzllbsjUMKVU8eKerr6xUKFfb3tGLFCv3zP/+z4vG4IpGIXnvt\nNX37299WKBRSY2OjXnnlFS1durSgxwxls9lJz8fF43FFo9GCHhgAAOCPxWIxRSKRgv/cnXfeqWef\nfVZnn322qqqq9Hd/93f6+7//ez377LNasmSJvvWtb6m+vn7Kjzel8DPZys+EGV75Oa69+6Sv3i19\n+W+lpWf5Wxv219+6vrUyeP6xP7yhMz/7Ze35l22KXLDc/wkcPSbtG5DOapSq5vpf35r187eu77oy\nuf7h02tmbOVnJkzpba9QKDS1pBaJSEv+W6lzKkxXl/Tq3VL7R6XlBj94XWd9/a3rWyuH51/5tCRp\n/lkRRS5o8r/+8KiUOii1LpTqp/6e/6xh/fyt67uO61+UKYUfoGy1tEi7dknLllnPBLBRWyNddJ5U\nXTX51wKQRPhB0NXUSOedZz0LO42N0oYN3mhl0cL80W9z53hL/nPn2NS3Fq6Q6mom/zoAE4Iffqqr\npdZWb4T/XL/+yaTU1+etPNUYvAA1NkobN/pf948tacof/VY1V1pqVFuS0hkpddRbeQkH6u4h06Oi\nQqqt9kb4j+tflClteEYZs37xdV1Xl9TeLu3c6eaeI/3XadBiT3EE3vCo1NUjLW9hz4UF18MnisK/\nlKDr6ZHa2rwRAFyTSErPveSNwBSVHH5++tOfatWqVWpoaFBFRYVefPHF6ZgXysxdd92l008/XbW1\ntbrmmmu0e/fuk379pk2bVFFRkfdfa2urT7MFMJ3uuecenX322aqpqdGKFSv07LPPnvBrH3zwQVVU\nVCgcDk9879fW1vo4W/jhl7/8pTo6OtTU1KSKigpt27bNekoFKTn8jI6O6tJLL9XmzZvL4uy+77q7\nvQ233d3WM5kxmzdv1ne+8x3dd999+u1vf6u6ujqtXLlSx44dO+mfa2tr04EDBzQ4OKjBwUH96le/\n8mnGAKbLj370I912223atGmTnn/+eZ1//vlauXKlhoaGTvhnotHoxPf94OCg9u3b5+OMfTaalJ7d\n5Y0OGR0d1QUXXKB77rknkK/9JW94XrdunSRp3759cnL7UCrlBZ9UynomM+ab3/ym7rzzTl177bWS\npIceekiLFi3SY489ptWrV5/wz1VWVqqhocGvaQKYAVu2bNH69et10003SZLuvfdePf7443rggQd0\nxx13HPfPhEIhd773MxkpkfJGh6xatUqrVq2SpEC+9rPnBye1Z88eDQ4O6uqrr574WCQS0Xvf+17t\n2LHjpH/2D3/4g5qamnTOOedo3bp1eu2116Z/ggMD3mmnAX8aKwJl5+gxaW+/N06zsbEx7dy5M+/7\nPxQK6UMf+tBJv/9HRka0dOlSnXnmmfrIRz6i7lm8Mo5gIvzgpAYHBxUKhbRo0aK8jy9atEiDg4Mn\n/HMrVqzQD37wAz311FO69957tWfPHl1++eUaHR2d3gkODEibNrkbfpJJ6aWXvNFK7u90uv9upyqd\n8d5ySLv1m/eEY2Nee4NjY9P+0ENDQ0qn0wV9/7/rXe/SAw88oG3btunhhx9WJpPR+9///hnv/A0U\noqDw88Mf/lD19fWqr69XJBLRr3/965maF4y89e94bOz4P1Cz2exJ3+dduXKlrr/+erW1temaa67R\nz372Mx0+fFg//vGPZ2rqbiqH0369L+ePfuO0j+9O9v2/YsUKrVu3Tu95z3t02WWX6dFHH1VDQ4Pu\nv/9+n2cJnFhB4ee6667TCy+8oBdeeEG/+93vdNFFF83UvKbOgQ3Hfnrr3/GCBQuUzWZ14MCBvK97\n4403vN8Gp3j9o9Go3vnOd056Sixwcu01WlqsZwIrufYStbPvPlsLFixQOBw+8fe/NOmG38rKSl14\n4YWz73u/XDi64bpUBYWfuro6LVu2bOK/qqr8XjImO74d2HB8UtP84vvWv+PW1lYtXrxY27dvn/ia\neDyu//zP/9T73//+KV//kZERvfLKK2q0bMMwE3LtNbjBpLty7SVm4Q325syZo/b29rzv/2w2q+3b\nt3vf/9KkG34zmYx27do1c9/7szh8TomjG65LVfJpr8OHD+vVV19Vf3+/stmsent7lc1mtXjx4re9\nT4wZ4ENvq8997nP66le/qnPPPVdLly7VnXfeqSVLlui6667zgpekqz/zGV1/88269dZbJUm33367\nrr32Wp111lnq7+/Xhg0bVFlZqbVr187oXAFMry984Qv6xCc+ofb2dl1yySXasmWLEomEbr75ZknS\nTZ/+b1oMXFvuAAAdrUlEQVQSrtLXvvsdSdJXvvIVrVixQueee66OHDmif/iHf9C+fft0yy23zMwE\n6W1mYnR0VLt375446dXX16cXXnhB8+fP1xlnnGE8u8mVHH62bdumT37ykwqFQgqFQhMvbhs2bNBd\nd91V8gTLXjk0lpxhd9xxhxKJhNavX68jR47osssu0xNPPKG5c+dOfM2e11/Pu+/H/v379fGPf1wH\nDx5UQ0ODLr30Uv3mN7/RaaedZvEUABRp9erVGhoa0l133aUDBw7oggsu0FNPPTVxlH3/6/2qrItO\nfP3hw4f16U9/WoODgzr11FPV3t6uHTt2qLm52eopzCxHG+s+99xzuuqqqyZe+2+77TZJ0ic+8Qk9\n8MADxrObXPB7e9FbyZb19beub60Mnn/8F08r+sErFfuP/0+Rq67wfwKu99ayfv7W9V3H9S/K7HuT\nGm5xvas8QFdvoGAlv+0FmGpt9e5zA7iqrka6uM16FkCgEH6AIMud9lu2zG4Oze/MH/2WO+1TXTX5\n1wKAZsPbXg5sOC5rrl9/6/Ya5XDUvq4uf/Sb9VHzGWwvEQiObvgtG1z/ogR/w7PrBgak++6T1q93\nN4BYKoMNx9bi8bii0ahisZgikYj1dPzHhlNbR49JA29KjQ1S1dzJvx7QbFj5cZ3rva0AuG0Ge5th\n9iL8lKocGksCAGy43lg3oAg/pSqHxpJAGVizZo06OjrU2dlpPRXAPzTWDSROewGYFo888oibe34A\nBA4rPwi2KXaVB2YtunoDBSP8INim2FV+1rI+ai9J+/vzR7+5ftScrt5AwYIffthwbMv162/dXqMc\nTvsdeCN/9Jv1aR/X20uw4dcW178o07vnJ5GQenun9SEn1dMjrVsnbd3q3e3Wb7mNzlYbnvv6vLv7\n9vXZ1Hf9+kvS//gf3spTV5f/tcvh+b/6qjceHfPueeO33EZTyw2nzWd7Ky8uPv9EUurdKzUv9e62\n7bfkUal6rjdacPn611ZL4bC/NafJ9N7kMHfDNwDOiF9xtaJPb1fs8V8oUjfPejoA/BLgG3tO78pP\nc7N3p1s/lcPKg2V9a9bP37q+tXJ4/r9/SXp6u1Qx7v0w9Jv1yoM16+dvXd+a9fO3XvkJqOkNP7W1\ndrf4b2mxqf3HjSUt+ytZs7r+5VLfmuXzjw17Y9Uc298Ca2sC+1votLB+/tb1rdTWSBfVeY11rfrL\n5ebh4vUvEvf5KVWusSQAwD25xroIFEePJ2DWcL2rPEBXb6BgrPwg2BobvfvcuMr6qL0kVVXlj35z\n/ah51VxpaZP1LIBAIfwAQdba6t1nyVJba/7ot7oa6eI2m9oAAin4vyrlNhy7eNKnHLh+/WmvAdfb\nS9TWSBed5+ZJr3LA9S9K8MNPbsOxqyetrF98Xb/+rrfXAO0lcht+rU46uR4+ra9/QHG1go4XXwAu\ncz18oiiEn1KVQ2NJAIAN1xvrBhThp1Tl0FgSAGDDurEuikL4QbC53lUeoKs3UDDCD4Ktp0dqa7Pt\nag5YSiSl516y7WoPBAzhBwgy69N+krSrO3/0m+unfQAULPjhhw3Htly//tbtNcrhtN/Ro/mj36xP\n+7jeXoINv7a4/kWZHeHH5Q3H1i++XH8v/NFbzF259hJVc61nYsN6w6/r4dP6+gcU7S2CzvXeVgDc\nRm8zFCH4Kz/WyqGxJADAhuuNdQOKlZ9SlUNjSQCADRrrBhJRFcC0WPO3X1JHR4c6OzutpwIAJ8XK\nD4It11V+2TLrmTjvkbu/pshVV1hPwz25rt7VVdYzAQKD8INgy3WVd5X1aT9JWrQwf/Sb66d9cl29\nAUxZ8MMPG45tuX79k0mpr89beaoxeAEqh9N+S5ryR79Zn/ZJZ6TUUW/lJezgTgI2/Nri+hcllM1m\ns9aTQAmsX3xd19UltbdLO3dKy5dbz8ZEPB5XNBpVLBZTJBKxno7/hkelrh5peYtUX2c9G/e4Hj5R\nFP6lBB29rQC4jN5mKALhBwAAOIXwU6pyaCwJALBBY91AIvyUqhwaSwIAbFg31kVRCD8INte7ygN0\n9QYKRvhBsLneVT6Z9NqrJA2X3EdH80e/pTPeWw5pR3/zpqs3UDDCDxBk5XDar/fl/NFvnPYBUCD/\nbnKYSEi9vdP/uH190he/KG3ebNPiIPeiY/XiY13f9eufSkk//rE3dnX5X9/6+UvSq69649Ex7543\nfsuFHqvwk8lILcu80cXnnzwq7dkvnb1EqjFosWH9/K3rz/T1r62WwuHpf1xj/t3kMHczOACzSvyK\nqxV9ertij/9Ckbp51tMBMJ1m6c07/Vv5aW727oI73Xp6pHXrpK1bvSaXfrOub836+VvXt1YOz//3\nL0lPb5cqxr0flH5LJKXevVLzUq/Jp2usn791fWvWz3+m69fOztZF/oWf2tqZvf1/S4tNe4FcY8kP\nftC2uaQ1q+tfLvWtWT7/2LA3Vs2x/Q2xtmZW/oY6ZdbP37q+lVxj3VMiXp85K65e/yIFv7GptXJo\nLAkAsGHdWBdF4bQXgs31rvIAXb2BgrHyg2BrbfXucwO4qq5GurjNehZAoBB+gCBraZF27bK5zUBO\n8zvzR7/V1kgXnSdVGxyzBhBIwV8nzW04dnmzsSXXr791e42aGq+xbo3hKZu6uvzRb+EKb/UjbPTj\nzPX2ErkNv3PnWM/ETVz/ovh3nx/MjIEB6b77pPXr3Q0glnL3r9q509nTZvF4XNFoVLFYTJFIxHo6\n/hselbp6Zu39UMre0WPSwJtSY4PtaSsESvBXflznem8rAG6jtxmKQPgpVTk0lgQA2HC9sW5AEX5K\nVQ6NJQEANmisG0iEHwDTYs2aNero6FBnZ6f1VADgpDjqjmDr7pb+4i+kn/zEu+cPzDzyyCNubni2\nNpqUul+RWs/xTr0BmBQrPwi2VMoLQKmU9UxsWB+1l6T9/fmj31w/ap7JSImUNwKYkuCHHzYc23L9\n+lu31yiH034H3sgf/WZ92sf19hJs+LXF9S9K8L9bXd9wbP3i6/r1z7XX4C03d+XaS7j6lpP1hl/X\nw6f19Q8o9vwEHb2tALiM3mYogqNRGQAAuIqVn1KVQ2NJAIANGusGEuGnVLnGkgAA9+Qa6yJQeNsL\nweZ6V3mArt5AwVj5QbA1Nnr3uXGV9Wk/Saqqyh/95vppn6q50tIm61kAgUL4AYKsHE77tbXmj37j\ntA+AAgX/V6XchuOWFuuZuMn169/d7e356u62ngmsjCalZ3d5o4tyG35r2fdigutflOCHn9yG4xpH\n/+KtX3xdv/6ut9cA7SVyG37DRi8nrodP6+sfUFytoOPFF4DLXA+fKArhp1Tl0FgSAGDD9ca6AUX4\nKVU5NJYEANiwbqyLohB+EGyud5UH6OoNFIzwg2Bzvas8QFdvoGDleZ+fRELq7bWexdTkXnStXnyt\n61uzfv7W9fv6pC9+Udq82a6/XM/L3vhsl3TJxf7XTx6V9uyXzl4i1RjcaDEXOqzCh3V9a9bP37p+\nMWqrpXDYehamQtlsNms9ibfp6pLa261nAWAK4ldcrejT2xV7/BeK1M2zng6AySxvkerrrGdhqjxX\nfpqbpZ07p/a1PT3SunXS1q02N9qzrv/mm9Kjj0of/ajU0OB/fevnb13fWjk8/9+/JD29XaoY936o\n+i2RlHr3Ss1L3bzRm/Xzt64/Nia9eURqOEWaY9DfzPr5F1O/1rAdTpkoz/BTWystX17Yn2lpKfzP\nTCfL+itX2tT9Yy5f/3Jg+fxjw95YNcf2t8naGrd/m7V+/pb1559iU/ePuXz9A4gNz6Uqh8aSAAAb\nrjfWDajyXPkJknJoLAkAsEFj3UAiqgIAAKcQfhBsrneVLyNr/vZL6ujoUGdnp/VU3EJXb6BgvO2F\nYMt1lXdVY6O0YYM3Wlm0UJL0yPe/r0irQQidO0c6q9EbXZTr6g1gyoIffthwbMv1659MejcaXLbM\nC2J+a2z0GutaWtKUP/qtaq601Ki25LWVSB2Vqqu8IOIaNvza4voXpTxvcoips37xdV3uhpw7dzp7\n1D4ejysajSoWiykSiVhPx3/Do1JXDzeOs+J6+ERR+JcSdPS2AuAyepuhCIQfAADgFMJPqbq7vQ23\n3d3WMwEA+G00KT27yxsRGISfUqVSXvBJpaxnAgDwWyYjJVLeiMAg/CDYBga8004DA9YzAWwcPSbt\n7fdGAFNC+EGwDQxImza5G36SSa+9StJwyX10NH/0WzrjveWQdvQ372Nj0r4BbwQwJYQfIMjK4bRf\n78v5o9847QOgQMEPP2w4tuX69ae9BlxvL8GGX1tc/6IE/w7Prm84zr34LltmU9/16+96ew3QXsJ6\nw28ufFZX2dS3Zn39Ayr44cd1vPgCcJnr4RNFCf7bXtbKobEkAMCG6411A4qVn1KVQ2NJAIAN68a6\nKAorPwg217vKA3T1BgrGyg+CrbXVu88N4Kq6GuniNutZAIFC+AGCzPq0nyQ1vzN/9Jvrp30AFCz4\n66RsOLbl+vW3bq+RO+1XY3japa4uf/Rb7rRP2OjHmevtJdjwa4vrX5TZEX42buTF1+rFl+tf1u01\n7rrrLp1++umqra3VNddco927d5/06zdt2qSKioq8/1pbW32abUC53l4it+G3aq5NfdfDp/X1D6jg\nhx/XlfmLL+xs3rxZ3/nOd3Tffffpt7/9rerq6rRy5UodO3byF4m2tjYdOHBAg4ODGhwc1K9+9Suf\nZgwUwfXwiaKw56dUyaTU1+ftubB86wF4i29+85u68847de2110qSHnroIS1atEiPPfaYVq9efcI/\nV1lZqYaGBr+mCQRbOiOljnp7zqzeekXB+JsqVTk0lgTeYs+ePRocHNTVV1898bFIJKL3vve92rFj\nx0n/7B/+8Ac1NTXpnHPO0bp16/Taa6/N9HSB4KKxbiARfoBZaHBwUKFQSIsWLcr7+KJFizQ4OHjC\nP7dixQr94Ac/0FNPPaV7771Xe/bs0eWXX67R0dGZnjIA+GZ2ve2VSEi9vf7WzK34WK38WNe31tcn\nffGL0ubNNse9y+T6//CJJ7T+a1+TJIVCIf2v//7fvU+8+KJ02mkTX5c9dEihcFjq6jru46xsaJAa\nGqRjx9R22mm65Gtf01kf/rB+/PWv65MdHccvPjzsjUOHpFB42p5TYOR+47f6zT95VNqzXzp7iVTj\n4HF/6+tvWb+2Wgo7+D03DULZbDZrPYlp09UltbdbzwLw3aikA3/0/ylJbZJ+J+k9f/TxKyVdKGlL\nAY99iaRrJN19gs/HL2xX9PmdWnjKqQqFQmpa0KCmhoWSpLVXr9Taq1cWUA3AlC1vkeqNbjERcLNr\n5ae5Wdq509+aPT3SunXS1q3eDef8Zl0/lZL6+6WmJpsWE9bPvxxWntatU93WrVr2lue/eOVKbb/p\nJr3nxhslSfGREf3nn/yJPrtpk3TNNVN6+JFEQq98+MO6af166WMfO/4X/f4l6eab9IfOHyvygfeV\n9HSKkkhKvXul5qXeDQ/9Zr3yYv38Mxnp6JhUNcemxYb187esX0tbn2LNrvBTWystX25Tu6XFpnau\nt9WFF3qj37q6pNWrvdBpde0lu+u/fLl0ww3+132r4zz/z91+u766ebPOvfJKLV26VHd+4xtacsYZ\nuu7zn5fmevcEufrqq3X99dfr1ltvlSTdfvvtuvbaa3XWWWepv79fGzZtUmVVldbecUfe22d5Yv/3\nba+qOba/hdbW2NSvr5MWzve/7ltZPf/hUamnz24VItfbbF6dd7NLK1bXH0WZXeHHRfS2wgnccccd\nSiQSWr9+vY4cOaLLLrtMTzzxhObO/a+boe3Zs0dDQ0MT/79//359/OMf18GDB9XQ0KBLL71Uv/nN\nb3TaiYIPYI3eZigC4QeYxTZu3KiNGzee8PN9fX15/9/Z2TnDMwIAe4SfUpVDY0kAgA0a6wYS4adU\nucaSAAD35BrrIlC4ySGCzfWu8gBdvYGCsfKDYMt1lXdV7rSfxW0Gcqqq8ke/5U77WByzLge5rt4A\npozwAwRZOZz2a2vNH/3GaR8ABXL0VyVMm9yGb4sbDJaD7m5vz1d3t/VMYGU0KT27yxtdlNvwa3GD\nQaBIhJ+gs37xzW34rnH0B18q5V37VMp6JrCSyUiJlDe6KLfhN2z0cuJ6+ERRCD9Bx4svAJe5Hj5R\nFMJPqQYGvA23AwPWMwEA+O3oMWlvvzciMAg/pRoYkDZtIvwAgIuOjUn7BrwRgUH4QbAlk95ppyTv\n98NR6Yy33yXN2z7AVBF+EGw9PVJbmzcCLkokpede8kYAU0L4AYLM+rSfJO3qzh/9xmkfAAUi/KA0\nrm/4tm6vUQ6n/Y4ezR/9Zn3ax/X2Emz4RQARfoLO+sXX9Q3fufYa9BZzV669RNVc65nYsN7w63r4\nRFFobxF0rve2AuA2epuhCKz8lKocGksCAGy43lg3oFj5KVU5NJYEANigsW4gEVUBAIBTWPlBsOW6\nyi9bZj0TwEauq3p1lfVMgMBg5QfB5npXeevTfpK0aKEkac3fbVJHR4c6Ozv9re/6aR/rrupAALHy\ng9K4vuE7mZT6+ryVJ4sAVg6n/ZZ4J20e+Z+PKRKJ+F/f+rRPOiOljnorLy4GEDb8IoD41xp01r2t\nchu+W1tt6lujvQZcby+R2/BbZ7T6Sm8zFIHwE3S8+AJwmevhE0Uh/AAAAKcQfkpVDo0lAQA2aKwb\nSGx4LkQiIfX25n+sp8cLPs8/b9NcMvd2F2972eD6S8PD3jh0SAqFbediIfd2C2+72LC+/omk11h3\nZPTtzXVrq6Wwg98TARDKZrNZ60kERleX1N5uPQugrMSXnato327FHv+FInXzrKcDlI/lLVJ9nfUs\ncBys/BSiuVnauTP/Yz090rp10tat3g33/GZd35r187eun0pJ/f1SU5Pd7QbePCit+hPprMXSmWf4\nXz+TkY6OSVVzbI5bJ5JS716peal3w0HX6luzfv4nq1/r6C1AAoDwU4jaWmn58uN/rqXlxJ/zg3V9\na9bP36p+V5e0erUXyq2e/y+e9sY3DkjnNftff3hU6umz/y27tsbt+tasn791fRSEDc8ojesbvnPt\nNVxcdYMn117CxVUXiQ2/CCRWfoLOurdVKuUFH4vN3uUg114D7sq1l3BVJuNt+H3rZl+/0NsMRSD8\nBB0vvgBc5nr4RFF426tU5dBYEgBgw/XGugHFyk+pyqGxJADAhnVjXRSFlR8Em+td5QG6qgMFY+UH\nwZbrKg+4KtdVHcCUEX6AILM+7SdJze/MH/3GaR8ABWKdFKVxfcP3wIC352tgwKZ+7rRfjeFpl7q6\n/NFvudM+YaMfZ0ePSXv7vdFFbPhFABF+gs76xTe34dvl8LNpk931h71jY9K+AW90UW7Db9Vcm/qu\nh08UhfATdLz4AnCZ6+ETRSH8AAAApxB+AACAUwg/AADAKYQfBJvrXeUBuqoDBSP8INhc7ypvfdpP\nkvb3549+c/20j3VXdSCACD8oTTLp3WE56ehvndbtNcrhtN+BNyRJa265RR0dHers7PS3vvVpH9fb\nS6Qz3qpTmvCF4OAOz0Fn/eLb0yO1t0s7d0rLl9vMwRLtNSY8cvfXFLnqCutp+M/19hKJpNTVIy1v\nkeoNbnTpevhEUQg/QceLLwCXuR4+URSiMgAAcArhBwAAOIXwAwAAnEL4QbC53lUeoKs6UDA2PCPY\ncl3lXWV92k+SqqryR7+5fton11UdwJQRfoAgK4fTfm2t+aPfOO0DoECO/qqEadPSIu3a5Y0uor0G\nXG8vUVsjXXSeNwIBQfgJOusX35oar36Noz/4XG+vAdpLhCu81bew0cuJ6+ETRSH8BB0vvgBc5nr4\nRFHY8xMUiYTU2/v2j/f05I/wF9dfGh72xqFDUihsOxcLiWT+CH9Ndv1rq6Wwg/8ucVKhbDabtZ4E\npqCry+uhBZSZ+LJzFe3brdjjv1Ckbp71dIB8Vj3HUNYIP0FxspWfdeukrVvd3HScSkn9/VJTk81x\nb9evv6T48LCiV16p2Ct7FGlosJ6O/xJJqXev1LzUZtNvJiMdHZOq5rh53H+y68/KD46Dt72Corb2\n5F3TW1rc7Kre1SWtXm3fVd7V6y9J8bg3Lpjv9m/YtTU2z394VOrpY4XD6vojkBz8NQGYRaxP+0nS\nru780W+c9gFQIMIPSjMw4N1heWDAeiY2rNtrlMNpv6NH80e/WZ/2cb29xNFj0t5+bwQCgvATdNYv\nvgMD0qZNboefjRvpLeayXHuJqrnWM7FxbEzaN+CNFlwPnygKe36CzvXeVgDcRm8zFIGVHwAA4BTC\nDwAAcArhBwAAOIU9Pwi2XFf5ZcusZwLYyHVVr66yngkQGIQfBFuuq7yrrE/7SdKihfmj31w/7ZPr\nqg5gygg/KE11tdTaatNaohwkk1Jfn7fyVGPwAlQOp/2WNOWPfrM+7ZPOSKmj3spL2MGdBBUVXgsJ\nF1trILDo7QWUItdw1rq9hqF4PK5oNKo//dM/VWVlpdauXau1a9daT8s/w6NSVw/tJYAAYeUHwLR4\n5JFHFIlErKcBAJNinRIAADiF8AMAAJxC+AEAAE4h/CDYXO8qD9BVHSgY4QfB5npX+WRSeuklb7Qy\nOpo/+i2dkUaT3ugi667qQAARfoAg6+mR2tq80Urvy/mj3xJJ6bmXvBEApoDwg9J0d3t3WO7utp6J\njVx7jZYW65nASq69RK2jd1keTUrP7vJGICC4zw9Kk0p5wSeVsp6JDdfba4D2EpmMlEh5IxAQrPwA\nAACnEH4AAIBTCD8AAMAphB8Em+td5QG6qgMFY8Mzgq211bvPDeCquhrp4jbrWQCBQvgBgix31H7Z\nMrs5NL8zf/Rb7qh5dZVNfQCBwzopStPYKG3Y4I0usm6vkTtqX2N41LquLn/0W+6oedjox5nr7SXm\nzpHOavRGICBC2Ww2az0JILC6uqT2dmnnTmn5cuvZmIjH44pGo4rFYopEItbT8d/wqNTVIy1vkeqN\nAiCAgvC2F2ZOIiH19lrPYmbl2kpYtpewNjzsjUOHpFDYdi4Wcm01XGivUVsthR38O8asw8oPZk5u\nVQSzWnzZuYr27Vbs8V8oUjfPejqYSaxuYZYg/GDmuLLys26dtHWrs/294sPDil55pWKv7FGkocF6\nOv5LJKXevVLz0tnf34uVH8wSvO2FmVNb684+mJYWd57rW8Xj3rhgvturArU1bj9/IEA47YVgc72r\nPEBXdaBghB8Em+td5a2P2kvS/v780W+uHzWnqzpQMMIPUArr9hoDA9KmTbbh58Ab+aPfjo1J+wa8\n0QLtJYDAYc8PUAraa0xY87dfUuWC07R27VqtXbvWejr+ob0EEDiEHwDT4pG7v6bIVVdYTwMAJsU6\nLQAAcArhBwAAOIXwAwAAnEL4QbC53lUeoKs6UDA2PCPYGhu9+9y4yvqovSRVVeWPfnP9qHnVXGlp\nk/UsgEChtxeAksTjcUWjUcViMUUiEevpAMCkHP1VCZgmtNcA7SWAwCH8AKVwvb0GaC8BBBDhBwAA\nOIXwAwAAnEL4AQAATiH8AAAApxB+AACAUwg/QJCVw1H7Xd35o984ag6gQIQfoBTW7TXK4aj90aP5\no9+sj5rTXgIIHNpbAKVwvb0GaC8BBBArPwAAwCmEHwAA4BTCDwAAcArhB8CEn/70p1q1apUaGhpU\nUVGhF1980XpKADDtCD8AJoyOjurSSy/V5s2bFQqFrKcDADOC015AkE3zUft169ZJkvbt26dsNju1\nP7RoYf7oN46aAygQ4QcIsnI4ar+kKX/0G0fNARSIt70AAIBTWPkBHPXDH/5Q69evlySFQiE98cQT\n+sAHPlD0461Zs0aVlfk/UtauXau1a9eWNE8AmG6EH8BR1113nVasWDHx/01Npb119MgjjygSiZQ6\nLQCYcYQfwFF1dXVatmzZCT/PaS8AsxXhB8CEw4cP69VXX1V/f7+y2ax6e3uVzWa1ePFiLVq0yHp6\nADAt2PAMYMK2bdt04YUX6tprr1UoFNLatWu1fPly3XfffdZTA4BpE8pO+WYeAPB28Xhc0WhUsViM\nPT8AAoGVHwAA4BTCDwAAcApvewEoSTab1fDwsOrr6zkhBiAQCD8AAMApvO0FAACcQvgBAABOIfwA\nAACnEH4AAIBTCD8AAMAphB8AAOAUwg8AAHDK/w+UEom5u9GeBgAAAABJRU5ErkJggg==\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAw8AAAGwCAYAAADv31lfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nU4STB8YYY4wxxpgi/w+1K102A7uzzQAAAABJRU5ErkJggg==\n", "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))" ] } ], "metadata": { "kernelspec": { "display_name": "SageMath 7.4.beta1", "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 }