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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.11149 |
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| _version_ | 1866908719318564864 |
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| author | Ma, Kuicheng |
| author_facet | Ma, Kuicheng |
| contents | In this paper, an Alexandrov-Fenchel inequality is established for closed $2$-convex spacelike hypersurface in de Sitter space by investigating the behavior of the locally constrained inverse curvature flow \begin{align} \frac{\partial }{\partial t}x=\bigg(u-\frac{λ'E_1}{E_2}\bigg)ν,\nonumber \end{align} which provides a partial answer to the conjecture raised by Hu and Li in \cite{HL}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11149 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A locally constrained inverse Hessian quotient flow in de Sitter space Ma, Kuicheng Differential Geometry 58J35, 53E10 In this paper, an Alexandrov-Fenchel inequality is established for closed $2$-convex spacelike hypersurface in de Sitter space by investigating the behavior of the locally constrained inverse curvature flow \begin{align} \frac{\partial }{\partial t}x=\bigg(u-\frac{λ'E_1}{E_2}\bigg)ν,\nonumber \end{align} which provides a partial answer to the conjecture raised by Hu and Li in \cite{HL}. |
| title | A locally constrained inverse Hessian quotient flow in de Sitter space |
| topic | Differential Geometry 58J35, 53E10 |
| url | https://arxiv.org/abs/2507.11149 |