Biconservative hypersurfaces in space forms $\overline{M}^{\lowercase{n+1}}(\lowercase{c})$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912026469597184 |
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| author | Gupta, Ram Shankar Arvanitoyeorgos, Andreas |
| author_facet | Gupta, Ram Shankar Arvanitoyeorgos, Andreas |
| contents | In this paper we study biconservative hypersurfaces $M$ in space forms $\overline M^{n+1}(c)$ with four distinct principal curvatures whose second fundamental form has constant norm. We prove that every such hypersurface has constant mean curvature and constant scalar curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08593 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Biconservative hypersurfaces in space forms $\overline{M}^{\lowercase{n+1}}(\lowercase{c})$ Gupta, Ram Shankar Arvanitoyeorgos, Andreas Differential Geometry 53C40, 53C42 In this paper we study biconservative hypersurfaces $M$ in space forms $\overline M^{n+1}(c)$ with four distinct principal curvatures whose second fundamental form has constant norm. We prove that every such hypersurface has constant mean curvature and constant scalar curvature. |
| title | Biconservative hypersurfaces in space forms $\overline{M}^{\lowercase{n+1}}(\lowercase{c})$ |
| topic | Differential Geometry 53C40, 53C42 |
| url | https://arxiv.org/abs/2409.08593 |