An isoperimetric type inequality in De Sitter space

Abstract In this paper, we prove an optimal isoperimetric inequality for spacelike, compact, star-shaped, and $2$ -convex hypersurfaces in de Sitter space.

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Publication Details

Journal
Canadian Journal of Mathematics
Published
2024-12-12
DOI
https://doi.org/10.4153/s0008414x24001123
Primary Topic
Point processes and geometric inequalities
Type
article
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article

An isoperimetric type inequality in De Sitter space

Ling Xiao
Canadian Journal of Mathematics
Point processes and geometric inequalities
article

An isoperimetric type inequality in De Sitter space

Ling Xiao
article en

Abstract

Abstract In this paper, we prove an optimal isoperimetric inequality for spacelike, compact, star-shaped, and $2$ -convex hypersurfaces in de Sitter space.

Canadian Journal of Mathematics
Reduced inequalities
Openalex Percentile: Top 62%
Point processes and geometric inequalities
DOISourceOpenAlex
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An isoperimetric type inequality in De Sitter space — Ling Xiao · Canadian Journal of Mathematics (2024) | TGRS Research Map | TGRS