Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}$
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909083694530560 |
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| author | Garcia, Estela Manfio, Fernando |
| author_facet | Garcia, Estela Manfio, Fernando |
| contents | We prove that Einstein submanifolds in $\mathbb{S}^n\times\mathbb{R}$ with flat normal bundle and parallel mean curvature are warped product of isometric immersions.
Key words: Einstein submanifolds, Parallel mean curvature, Flat normal bundle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15072 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}$ Garcia, Estela Manfio, Fernando Differential Geometry We prove that Einstein submanifolds in $\mathbb{S}^n\times\mathbb{R}$ with flat normal bundle and parallel mean curvature are warped product of isometric immersions. Key words: Einstein submanifolds, Parallel mean curvature, Flat normal bundle. |
| title | Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}$ |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2401.15072 |