Extrinsic Bonnet-Myers Theorem and almost rigidity
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909621516500992 |
|---|---|
| author | Li, Weiying Xu, Guoyi |
| author_facet | Li, Weiying Xu, Guoyi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04822 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extrinsic Bonnet-Myers Theorem and almost rigidity Li, Weiying Xu, Guoyi Differential Geometry Metric Geometry 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. |
| title | Extrinsic Bonnet-Myers Theorem and almost rigidity |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2405.04822 |