On Complete Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space
Received:April 29, 2010  Revised:April 22, 2011
Key Words: complex projective space   totally real submanifolds   pseudo-umbilical submanifolds   complete.  
Fund Project:Supported by the Natural Science Foundation of Anhui Educational Committee (Grant No.KJ2011Z149).
Author NameAffiliation
Min LIU College of Mathematics and Computer Science, Anhui Normal University, Anhui 241000, P. R. China 
Wei Dong SONG College of Mathematics and Computer Science, Anhui Normal University, Anhui 241000, P. R. China 
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Abstract:
      Let $M^n$ be a totally real pseudo-umbilical submanifold in a complex projective space $CP^{n p}$. In this paper, we study the position of completeness of $M^n$. By choosing a suitable frame field, we obtain a rigidity theorem such that $M^n$ becomes totally umbilical submanifold and improve the related results.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.05.022
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