Extrinsic Bonnet-Myers Theorem and almost rigidity
Differential Geometry
2025-05-27 v2 Metric Geometry
Abstract
We establish the extrinsic Bonnet-Myers Theorem for compact Riemannian manifolds with positive Ricci curvature. And we show the almost rigidity for compact hypersurfaces, which have positive sectional curvature and almost maximal extrinsic diameter in Euclidean space.
Cite
@article{arxiv.2405.04822,
title = {Extrinsic Bonnet-Myers Theorem and almost rigidity},
author = {Weiying Li and Guoyi Xu},
journal= {arXiv preprint arXiv:2405.04822},
year = {2025}
}
Comments
to appear in Manuscripta Math