An injectivity radius estimate in terms of metric sphere
Differential Geometry
2015-02-02 v1
Abstract
In this paper we prove that if a point in a complete Riemannian manifold is not a cut point of any point whose distance to is , then the injectivity radius of is strictly large than . As a corollary we give a positive answer to a problem raised by Z. Sun and J. Wan.
Keywords
Cite
@article{arxiv.1501.07846,
title = {An injectivity radius estimate in terms of metric sphere},
author = {Shicheng Xu},
journal= {arXiv preprint arXiv:1501.07846},
year = {2015}
}