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Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature

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  • Kairen Cai
  • Huiqun Xu

Abstract

The authors apply the generalized Minkowski formula to set up a spherical theorem. It is shown that a compact connected hypersurface with positive constant higher-order mean curvature H r for some fixed r , 1 ≤ r ≤ n , immersed in the de Sitter space S 1 n + 1 must be a sphere.

Suggested Citation

  • Kairen Cai & Huiqun Xu, 2006. "Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-6, June.
    • Handle: RePEc:hin:jijmms:019545
    DOI: 10.1155/IJMMS/2006/19545
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