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arXiv · 2509.22470

Geometric inequalities for convex spacelike hypersurface in de Sitter space

Yandi Dong·Kuicheng Ma
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Abstract

In this paper, the long-time existence and convergence results are derived for locally constrained flows with initial value some compact spacelike hypersurface that is suitably pinched in the de Sitter space. As applications, geometric inequalities related to the quermassintegrals as well as the weighted curvature integrals are established.

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Yandi Dong, Kuicheng Ma. 2025-09-26. Geometric inequalities for convex spacelike hypersurface in de Sitter space. https://arxiv.org/abs/2509.22470

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