A comparison theorem for Finsler submanifolds and its applications
Differential Geometry
2017-10-31 v1
Abstract
In this paper, we consider the conormal bundle over a submanifold in a Finsler manifold and establish a volume comparison theorem. As an application, we derive a lower estimate for length of closed geodesics in a Finsler manifold. In the reversible case, a lower bound of injective radius is also obtained.
Cite
@article{arxiv.1710.10682,
title = {A comparison theorem for Finsler submanifolds and its applications},
author = {Wei Zhao},
journal= {arXiv preprint arXiv:1710.10682},
year = {2017}
}