https://github.com/olivierverdier/affinemotions.jl

Functions from a manifold to a Lie algebra fulfilling the affine property
https://github.com/olivierverdier/affinemotions.jl

Last synced: about 5 hours ago
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Functions from a manifold to a Lie algebra fulfilling the affine property

• Host: GitHub
• URL: https://github.com/olivierverdier/affinemotions.jl
• Owner: olivierverdier
• License: mit
• Created: 2024-09-04T13:40:59.000Z (3 months ago)
• Default Branch: main
• Last Pushed: 2024-11-18T18:54:08.000Z (about 12 hours ago)
• Last Synced: 2024-11-18T19:47:04.996Z (about 11 hours ago)
• Language: Julia
• Homepage: https://olivierverdier.github.io/AffineMotions.jl/
• Size: 276 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 1
• Metadata Files:
  • Readme: README.md
  • Changelog: NEWS.md
  • License: LICENSE

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README

        
# AffineMotions

[![Build Status](https://github.com/olivierverdier/AffineMotions.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/olivierverdier/AffineMotions.jl/actions/workflows/CI.yml?query=branch%3Amain)

[![codecov](https://codecov.io/gh/olivierverdier/AffineMotions.jl/graph/badge.svg?token=aTe2GSxvIw)](https://codecov.io/gh/olivierverdier/AffineMotions.jl)

[![](https://img.shields.io/badge/docs-dev-blue.svg)](https://olivierverdier.github.io/AffineMotions.jl/)

Given a group action $G \subset \mathrm{Diff}(M)$

a function $φ \colon M \to \mathfrak{g}$ is *affine* if the quantity

```math

φ(χ\cdot x) - χ φ(x) χ^{-1}

```

does not depend on $x$.

This package defines various operations for those functions.