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复射影空间中法丛平坦的全实伪脐子流形
引用本文:张量,宋卫东.复射影空间中法丛平坦的全实伪脐子流形[J].数学物理学报(A辑),2007,27(4):688-695.
作者姓名:张量  宋卫东
作者单位:安徽师范大学数学计算机科学学院,安徽师范大学数学计算机科学学院 芜湖 241000,芜湖 241000
基金项目:安徽省教育厅自然科学基金;安徽师范大学校科研和教改项目
摘    要:该文证明了复射影空间中两种类型的法丛平坦全实伪脐子流形必是极小的,并在紧致的情形确定了它们的具体形状.此外,还说明了复射影空间中的全实全脐子流形一定不是法丛平坦的.

关 键 词:复射影空间  全实子流形  伪脐子流形  法丛平坦
文章编号:1003-3998(2007)04-688-08
收稿时间:2005-01-08
修稿时间:2005-01-08

Totally Real Pseudo-umbilical Submanifolds with Flat Normal Bundle of Complex Projective Space
Zhang Liang,Song Weidong.Totally Real Pseudo-umbilical Submanifolds with Flat Normal Bundle of Complex Projective Space[J].Acta Mathematica Scientia,2007,27(4):688-695.
Authors:Zhang Liang  Song Weidong
Institution:College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000
Abstract:In this paper,the authors prove that two types of totally real pseudo-umbilical submanifolds with flat normal bundle must be minimal and determine their shapes under the circumstances that the submanifolds are compact.Moreover,the authors also show that the normal bundle of a totally real and totally umbilical submanifold can't be flat.
Keywords:Complex projective space  Totally real submanifolds  Pseudo-umbilical submanifolds  Flat normal bundle  
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