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A comparison theorem for Finsler submanifolds and its applications

2017/10/29 by Zhao, Wei
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.10682

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.

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