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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 13, Pages 2053-2069
doi:10.1155/IJMMS.2005.2053

Compact space-like hypersurfaces in de Sitter space

Jinchi Lv

Department of Mathematics, Princeton University, Princeton 08544-1000, NJ, USA

Abstract

We present some integral formulas for compact space-like hypersurfaces in de Sitter space and some equivalent characterizations for totally umbilical compact space-like hypersurfaces in de Sitter space in terms of mean curvature and higher-order mean curvatures.