A Cheeger type finiteness theorem for Finsler manifolds

Wei Zhao; Yibing Shen

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arXiv · 1504.05015

A Cheeger type finiteness theorem for Finsler manifolds

Wei Zhao·Yibing Shen

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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.

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BibTeX RIS

Wei Zhao, Yibing Shen. 2015-04-20. A Cheeger type finiteness theorem for Finsler manifolds. https://arxiv.org/abs/1504.05015

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