| 复射影空间中拟全实极小子流形 |
| |
| 引用本文： | 尹松庭,宋卫东.复射影空间中拟全实极小子流形[J].吉林大学学报(理学版),2011,49(1):56-60. |
| |
| 作者姓名： | 尹松庭 宋卫东 |
| |
| 作者单位： | 1. 铜陵学院 数学计算机系, 安徽 铜陵 244000,2. 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： | 安徽省教育厅自然科学研究重点项目 |
| |
| 摘 要： | 运用活动标架法和Bochner技巧, 研究复射影空间CP(n+p)/2中拟全实极小子流形曲率与几何特征的关系, 得到了截面曲率和Ricci曲率的刚性定理. 证明了: 若Mn的截面曲率处处不小于(n+3)/2(n+1)或Ricci曲率处处不小于n+1-3p/n+12p/n2(n≥4), 3n/4+2(n≤4), 则p=n,M=RPn.
|
| 关 键 词： | 复射影空间 一般子流形 极小子流形 拟全实子流形 |
| 收稿时间： | 2009-11-16 |
Quasi-totally Real Minimal Submanifolds in a Complex Projective Space |
| |
| YIN Song-ting,SONG Wei-dong.Quasi-totally Real Minimal Submanifolds in a Complex Projective Space[J].Journal of Jilin University: Sci Ed,2011,49(1):56-60. |
| |
| Authors: | YIN Song-ting SONG Wei-dong |
| |
| Institution: | 1. Department of Mathematics and Computer Science, Tongling College, Tongling 244000, Anhui Province, China;2. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui Province, China |
| |
| Abstract: | The authors studied the relations between the curvatureand geometric feature of quasi totally real minimal submanifold in a complex p
rojective space CP(n+p)/2. With the help of moving frame method and Bochner skills, some rigidity theorems on sectional curvature and Ricci curvature were obtained. The authors have proved that if the sectional curvature of Mn is not less than (n+3)/2(n+1)] or Ricci curvature is not less than n+1-3p/n+12p/n2(n≥4) or 3n/4+2(n≤4), then p=n, M=RPn. |
| |
| Keywords: | complex projective space generic submanifold minimal submanifold quasi totally real submanifold |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
|
