On Complete Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space

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作者：
Min LIU Wei Dong SONG College of Mathematics and Computer Science Anhui Normal University Anhui P R China [241000 ]
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来源：
数学研究与评论 | 2011年 / 31卷 / 05期
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中图分类号：
O186.12 [黎曼几何];
学科分类号：
070104 ;
摘要：
Let Mn be a totally real pseudo-umbilical submanifold in a complex projective space CPn+p. In this paper, we study the position of completeness of Mn. By choosing a suitable frame field, we obtain a rigidity theorem such that Mn becomes totally umbilical submanifold and improve the related results.
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页码：946 / 950
页数：5
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