Projectively equivalent Finsler metrics on surfaces of negative Euler characteristic
Differential Geometry
2019-08-09 v2
Abstract
We proof that on a surface of negative Euler characteristic, two real-analytic Finsler metrics have the same unparametrized oriented geodesics, if and only if they differ by a scaling constant and addition of a closed 1-form.
Keywords
Cite
@article{arxiv.1908.02701,
title = {Projectively equivalent Finsler metrics on surfaces of negative Euler characteristic},
author = {Julius Lang},
journal= {arXiv preprint arXiv:1908.02701},
year = {2019}
}