A Cheeger type finiteness theorem for Finsler manifolds
Differential Geometry
2019-06-18 v1
Abstract
In this paper, we mainly establish a Cheeger type finiteness theorem for Berwald manifolds. In order to do this, we study the injectivity radius and the convex radius of a Finsler manifold. A Cheeger type estimate on injectivity radii for Finsler manifolds is given and the existence of the center of mass of a Berwald manifold is proved.
Keywords
Cite
@article{arxiv.1504.05015,
title = {A Cheeger type finiteness theorem for Finsler manifolds},
author = {Wei Zhao and Yibing Shen},
journal= {arXiv preprint arXiv:1504.05015},
year = {2019}
}