Finsler surfaces with prescribed geodesics
Differential Geometry
2010-02-02 v1 Metric Geometry
Abstract
We construct all Finsler metrics on the two-sphere for which geodesics are circles and show that any (reversible) path geometry on a two-dimensional manifold is locally the system of geodesics of a Finsler metric.
Cite
@article{arxiv.1002.0243,
title = {Finsler surfaces with prescribed geodesics},
author = {Juan-Carlos Álvarez-Paiva and Gautier Berck},
journal= {arXiv preprint arXiv:1002.0243},
year = {2010}
}
Comments
15 pages