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VOL. 2 | 2001 Some Estimates for the Curvatures of Spacelike Hypersurfaces in de Sitter Space
Juan A. Aledo, Luis J. Alías

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

Abstract

In this paper we will report on our recent studies on curvature properties of space-like hypersurfaces in de Sitter space. In particular, we will state certain estimates for the higher order mean curvatures, the scalar curvature and the Ricci curvature of complete space-like hypersurfaces in de Sitter space. We will also establish a sufficient condition for a compact space-like hypersurface in de Sitter space to be spherical in terms of a lower bound for the square of its mean curvature.

Information

Published: 1 January 2001
First available in Project Euclid: 5 June 2015

zbMATH: 1082.53053
MathSciNet: MR1815631

Digital Object Identifier: 10.7546/giq-2-2001-72-81

Rights: Copyright © 2001 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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