| 刘敏,宋卫东.复射影空间中的完备全实伪脐子流形[J].数学研究及应用,2011,31(5):946~950 |
| 复射影空间中的完备全实伪脐子流形 |
| On Complete Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space |
| 投稿时间：2010-04-29 修订日期：2011-04-22 |
| DOI：10.3770/j.issn:1000-341X.2011.05.022 |
| 中文关键词: 复射影空间 全实子流形 伪脐子流形 完备. |
| 英文关键词:complex projective space totally real submanifolds pseudo-umbilical submanifolds complete. |
| 基金项目:安徽高校省级自然科学研究项目(Grant No.KJ2011Z149). |
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| 中文摘要: |
| $M^n$是复射影空间$CP^{n p}$中的全实伪脐子流形.本文研究了$M^n$为完备的情形.通过选择适当的活动标架,得到了其成为全脐子流形的刚性定理,并推广了相关结果. |
| 英文摘要: |
| 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. |
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