Locally constrained inverse curvature flow and Alexandrov-Fenchel type inequalities in de Sitter space
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908727873896448 |
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| author | Ma, Kuicheng |
| author_facet | Ma, Kuicheng |
| contents | In this paper, we study the behavior of some locally constrained inverse curvature flow in de Sitter space, with initial value any closed spacelike $k$-convex hypersurface satisfying some pinching condition. Assume further the Heintze-Karcher inequality for any closed spacelike mean convex hypersurface in de Sitter space, we derive a class of Alexandrov-Fenchel inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19285 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Locally constrained inverse curvature flow and Alexandrov-Fenchel type inequalities in de Sitter space Ma, Kuicheng Differential Geometry In this paper, we study the behavior of some locally constrained inverse curvature flow in de Sitter space, with initial value any closed spacelike $k$-convex hypersurface satisfying some pinching condition. Assume further the Heintze-Karcher inequality for any closed spacelike mean convex hypersurface in de Sitter space, we derive a class of Alexandrov-Fenchel inequalities. |
| title | Locally constrained inverse curvature flow and Alexandrov-Fenchel type inequalities in de Sitter space |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2512.19285 |