A classification of Biconservative Hypersurfaces in the Minkowski spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911053205471232 |
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| author | Kayhan, Aykut |
| author_facet | Kayhan, Aykut |
| contents | In this paper, we study Lorentzian biconservative hypersurfaces for which the gradient of their mean curvature $H$ is lightlike, i.e. $\langle \gr H,\gr H\rangle=0$. We establish the non-existence of such hypersurfaces in the Minkowski spaces by conducting a rigorous analysis of both the Codazzi and Gauss equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17903 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A classification of Biconservative Hypersurfaces in the Minkowski spaces Kayhan, Aykut Differential Geometry 53C42 In this paper, we study Lorentzian biconservative hypersurfaces for which the gradient of their mean curvature $H$ is lightlike, i.e. $\langle \gr H,\gr H\rangle=0$. We establish the non-existence of such hypersurfaces in the Minkowski spaces by conducting a rigorous analysis of both the Codazzi and Gauss equations. |
| title | A classification of Biconservative Hypersurfaces in the Minkowski spaces |
| topic | Differential Geometry 53C42 |
| url | https://arxiv.org/abs/2410.17903 |