Spacelike hypersurfaces in de Sitter space

نویسندگان

  • Yecheng Zhu
  • Q. M. Cheng
چکیده

In this paper, we study the close spacelike hypersurfaces in de Sitter space. Using Bonnet-Myer’s theorem, we prove a rigidity theorem for spacelike hypersurfaces without the constancy condition on the mean curvature or the scalar curvature. M.S.C. 2010: 53C40, 53B30.

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تاریخ انتشار 2013