JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (10): 64-67.doi: 10.6040/j.issn.1671-9352.0.2014.391

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On pseudo-umbilical timelike submanifold in a de Sitter space

LI Ying, SONG Wei-dong   

  1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2014-09-02 Revised:2015-04-17 Online:2015-10-20 Published:2015-10-21

Abstract: Based on the moving frames, the pseudo-umbilical timelike submanifold in a de Sitter space was studied. Also, an integral inequality about the squared norm of the second fundamental form for the submanifold and some rigidity theorems are obtained.

Key words: de Sitter space, integral inequality, pseudo-umbilical timelike submanifold

CLC Number: 

  • O186.12
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