J4 ›› 2011, Vol. 46 ›› Issue (12): 83-87.

• Articles • Previous Articles     Next Articles

Complete spacelike submanifolds in de Sitter spaces with parallel normalized mean curvature vector

QI Bang-jiao   

  1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, Gansu, China
  • Received:2010-09-28 Online:2011-12-20 Published:2011-12-24

Abstract:

By using Yau’s general maximal principle, sufficient conditions for complete space-like submanifolds with parallel normalized mean curvature vector in a de Sitter spaces Sn+pp(c) are obtained.

Key words: de Sitter spaces; space-like submanifolds; totally umbilical; parallel normalized mean curvature vector

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