复射影空间中法丛平坦的全实伪脐子流形  

Totally Real Pseudo-umbilical Submanifolds with Flat Normal Bundle of Complex Projective Space

作　　者：张量[1] 宋卫东[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,芜湖241000

出　　处：《数学物理学报（A辑）》2007年第4期688-695,共8页Acta Mathematica Scientia

基　　金：安徽省教育厅自然科学研究重点项目基金(2004kj166zd);安徽师范大学青年基金(2005xqn01)资助

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.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.

关 键 词：复射影空间 全实子流形 伪脐子流形 法丛平坦 

分 类 号：O186[理学—数学]