Acta mathematica scientia,Series A

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Integral Formulas for Compact Space-like Hypersurfaces in anti-de Sitter Spacetime: Applications to the Case of Constant Higher Order Mean Curvature

Xu Senlin; Hu Zisheng   

  1. Department of Mathematics and statistics, Huazhong Normal University, Wuhan 430079
  • Received:2005-09-05 Revised:2006-10-18 Online:2007-04-25 Published:2007-04-25
  • Contact: Hu Zisheng

Abstract: In this paper, the authors develop some integral formulas for compact space-like hypersurfaces in anti-de Sitter spacetime H1n+1 and apply them to characterize the totally umbilical ones in H1n+1 as the only compact space-like hypersurfaces with constant higher order mean curvature under some appropriate hypothesis.

CLC Number: 

  • 53C40
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