A topological sphere theorem for submanifolds of the hyperbolic space
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914764480839680 |
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| author | Dajczer, M. Vlachos, Th. |
| author_facet | Dajczer, M. Vlachos, Th. |
| contents | We identify as topological spheres those complete submanifolds lying with any codimension in hyperbolic space whose Ricci curvature satisfies a lower bound contingent solely upon the length of the mean curvature vector of the immersion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14023 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A topological sphere theorem for submanifolds of the hyperbolic space Dajczer, M. Vlachos, Th. Differential Geometry 53C20, 53C40 We identify as topological spheres those complete submanifolds lying with any codimension in hyperbolic space whose Ricci curvature satisfies a lower bound contingent solely upon the length of the mean curvature vector of the immersion. |
| title | A topological sphere theorem for submanifolds of the hyperbolic space |
| topic | Differential Geometry 53C20, 53C40 |
| url | https://arxiv.org/abs/2404.14023 |