Finsler metrics on surfaces admitting three projective vector fields
Differential Geometry
2019-08-08 v1
Abstract
We show that in dimension 2 every Finsler metric with at least 3-dimensional Lie algebra of projective vector fields is locally projectively equivalent to a Randers metric. We give a short list of such Finsler metrics which is complete up to coordinate change and projective equivalence.
Keywords
Cite
@article{arxiv.1908.02696,
title = {Finsler metrics on surfaces admitting three projective vector fields},
author = {Julius Lang},
journal= {arXiv preprint arXiv:1908.02696},
year = {2019}
}