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arXiv · 2507.11149

A locally constrained inverse Hessian quotient flow in de Sitter space

Kuicheng Ma
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Abstract

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{\lambda'E_1}{E_2}\bigg)\nu,\nonumber \end{align} which provides a partial answer to the conjecture raised by Hu and Li in \cite{HL}.

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Kuicheng Ma. 2025-07-15. A locally constrained inverse Hessian quotient flow in de Sitter space. https://arxiv.org/abs/2507.11149

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