Ricci pinched compact submanifolds in spheres
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866911130256932864 |
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| author | Dajczer, Marcos Vlachos, Theodoros |
| author_facet | Dajczer, Marcos Vlachos, Theodoros |
| contents | We investigate the topology of the compact submanifolds in round spheres that satisfy a lower bound on the Ricci curvature depending only on the length of the mean curvature vector of the immersion. Just in special cases, the limited strength of the assumption allows some strong additional information on the extrinsic geometry of the submanifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_14151 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ricci pinched compact submanifolds in spheres Dajczer, Marcos Vlachos, Theodoros Differential Geometry 53C20, 53C40, 53C42, 55R25 We investigate the topology of the compact submanifolds in round spheres that satisfy a lower bound on the Ricci curvature depending only on the length of the mean curvature vector of the immersion. Just in special cases, the limited strength of the assumption allows some strong additional information on the extrinsic geometry of the submanifold. |
| title | Ricci pinched compact submanifolds in spheres |
| topic | Differential Geometry 53C20, 53C40, 53C42, 55R25 |
| url | https://arxiv.org/abs/2305.14151 |