# Coordinate and multilinear geometry

[All sections](../README.md)

## Modules

| Module | Verified result |
|---|---|
| [FinslerPolyMetric](FinslerPolyMetric.en.md) | The quartic product of four coordinates: homogeneity, its zero set, and diagonal invariance. |
| [FinslerMultilinear](FinslerMultilinear.en.md) | A symmetric four-linear polarization with 24 terms and a commutative group of diagonal transformations. |
| [FinslerIndicatrix](FinslerIndicatrix.en.md) | Positivity of a prescribed diagonal energy, a midpoint product bound, and preservation of the indicatrix by positive transformations. |

## Scope

The statements concern the defined coordinate forms and energy. They do not automatically identify this energy with a Finsler fundamental tensor or construct a general manifold theory.

[Contributing](../CONTRIBUTING.en.md) · [Validation](../VERIFICATION.en.md)