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arXiv · 1501.07846

An injectivity radius estimate in terms of metric sphere

Shicheng Xu
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Abstract

In this paper we prove that if a point $p$ in a complete Riemannian manifold is not a cut point of any point whose distance to $p$ is $r$, then the injectivity radius of $p$ is strictly large than $r$. As a corollary we give a positive answer to a problem raised by Z. Sun and J. Wan.

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Shicheng Xu. 2015-01-30. An injectivity radius estimate in terms of metric sphere. https://arxiv.org/abs/1501.07846

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