Compact space-like hypersurfaces in de Sitter space

Article English OPEN
Jinchi Lv (2005)
  • Publisher: Hindawi Limited
  • Journal: International Journal of Mathematics and Mathematical Sciences (issn: 0161-1712, eissn: 1687-0425)
  • Related identifiers: doi: 10.1155/IJMMS.2005.2053
  • Subject: Mathematics | QA1-939
    arxiv: General Relativity and Quantum Cosmology | Mathematics::Differential Geometry

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.
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