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arXiv · 1710.10682

A comparison theorem for Finsler submanifolds and its applications

Wei Zhao
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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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Wei Zhao. 2017-10-29. A comparison theorem for Finsler submanifolds and its applications. https://arxiv.org/abs/1710.10682

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