| 复射影空间中的完备全实伪脐子流形 |
| |
| 引用本文： | 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. DOI: 10.3770/j.issn:1000-341X.2011.05.022 |
| |
| 作者姓名： | 刘敏 宋卫东 |
| |
| 作者单位： | 安徽师范大学数学与计算机科学学院, 安徽 芜湖 241000;安徽师范大学数学与计算机科学学院, 安徽 芜湖 241000 |
| |
| 基金项目： | 安徽高校省级自然科学研究项目(Grant No.KJ2011Z149). |
| |
| 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.
|
| 关 键 词： | complex projective space totally real submanifolds pseudo-umbilical submanifolds complete. |
| 收稿时间： | 2010-04-29 |
| 修稿时间： | 2011-04-22 |
On Complete Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space |
| |
| Min LIU and Wei Dong SONG. On Complete Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space[J]. Journal of Mathematical Research with Applications, 2011, 31(5): 946-950. DOI: 10.3770/j.issn:1000-341X.2011.05.022 |
| |
| Authors: | Min LIU and Wei Dong SONG |
| |
| Affiliation: | College of Mathematics and Computer Science, Anhui Normal University, Anhui 241000, P. R. China |
| |
| 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. |
| |
| Keywords: | complex projective space totally real submanifolds pseudo-umbilical submanifolds complete. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
