Deformations and Hilbert's Fourth Problem
Differential Geometry
2013-05-17 v1 Metric Geometry
Abstract
In this paper we study a class of Finsler metrics defined by a Riemannian metric and an 1-form. We classify those of projectively flat in dimension by a special class of deformations. The results show that the projective flatness of such kind of Finsler metrics always arises from that of some Riemannian metric.
Cite
@article{arxiv.1209.0845,
title = {Deformations and Hilbert's Fourth Problem},
author = {Changtao Yu},
journal= {arXiv preprint arXiv:1209.0845},
year = {2013}
}
Comments
26 pages, 1 figure