Compact spacelike biconservative hypersurfaces in de Sitter space
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910989291618304 |
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| author | Kayhan, Aykut |
| author_facet | Kayhan, Aykut |
| contents | In this paper, we investigate the geometry of compact spacelike biconservative hypersurfaces with constant scalar curvature in de Sitter space $\mathbb{S}_1^{m+1}(c)$, under some geometric constraints. Our results extend the understanding of rigidity properties of such hypersurfaces in pseudo-Riemannian settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compact spacelike biconservative hypersurfaces in de Sitter space Kayhan, Aykut Differential Geometry Primary 53C42. Secondary 53C40 In this paper, we investigate the geometry of compact spacelike biconservative hypersurfaces with constant scalar curvature in de Sitter space $\mathbb{S}_1^{m+1}(c)$, under some geometric constraints. Our results extend the understanding of rigidity properties of such hypersurfaces in pseudo-Riemannian settings. |
| title | Compact spacelike biconservative hypersurfaces in de Sitter space |
| topic | Differential Geometry Primary 53C42. Secondary 53C40 |
| url | https://arxiv.org/abs/2506.04744 |