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An isoperimetric type inequality in De Sitter space

Part of: Global differential geometry

Published online by Cambridge University Press:  12 December 2024

Ling Xiao
Ling Xiao*
Affiliation:
Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269
*
e-mail: [email protected]
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Abstract

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

Keywords

Isoperimetric inequalityde Sitter spacecurvature flow

MSC classification

Primary: 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions
Secondary: 39B62: Functional inequalities, including subadditivity, convexity, etc.
Type
Article
Information
Canadian Journal of Mathematics , First View , pp. 1 - 20
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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