A Totally Umbilical Condition of Compact Space-like Hypersurfaces in the de Sitter Space
Received:December 16, 2001  
Key Words: space-like hypersurface   sectional curvature   scalar curvature.  
Fund Project:
Author NameAffiliation
WEN Bo Dept. of Math.
Changchun Taxation College
Jilin
China 
WANG Qiang Dept. of Math.
Changchun Taxation College
Jilin
China 
PENG Cui-ying Dept. of Math.
Qingdao Scientific University
Shandong
China 
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Abstract:
      In this paper,an intrinsic, condition for a Compact Space-like hypersurface with constant scalar curvature in a de Sitter space to be totally umbilical is obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.03.015
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