| 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.
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| Fund Project:Supported by the Natural Science Foundation of Anhui Educational Committee (Grant No.KJ2011Z149). |
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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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