Rigidity of negatively curved geodesic orbit Finsler spaces
Differential Geometry
2016-04-27 v1
Abstract
We prove some rigidity results on geodesic orbit Finsler spaces with non-positive curvature. In particular, we show that a geodesic Finsler space with strictly negative flag curvature must be a non-compact Riemannian symmetric space of rank one.
Keywords
Cite
@article{arxiv.1604.07702,
title = {Rigidity of negatively curved geodesic orbit Finsler spaces},
author = {Ming Xu and Shaoqiang Deng},
journal= {arXiv preprint arXiv:1604.07702},
year = {2016}
}
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5 pages