Geometric inequalities for convex spacelike hypersurface in de Sitter space

Fuente: arXiv
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Main Authors: Dong, Yandi, Ma, Kuicheng
Format: Preprint
Published: 2025
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_version_ 1866917171213369344
author Dong, Yandi
Ma, Kuicheng
author_facet Dong, Yandi
Ma, Kuicheng
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_22470
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Geometric inequalities for convex spacelike hypersurface in de Sitter space
Dong, Yandi
Ma, Kuicheng
Differential Geometry
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.
title Geometric inequalities for convex spacelike hypersurface in de Sitter space
topic Differential Geometry
url https://arxiv.org/abs/2509.22470