复射影空间中具有常数量曲率的全实子流形  

On totally real submanifolds with constant scalar carvature in the complex projective space

作　　者：刘敏[1] 宋卫东[1] 

机构地区：[1]安徽师范大学数计学院,安徽芜湖241000

出　　处：《纯粹数学与应用数学》2012年第6期749-756,共8页Pure and Applied Mathematics

基　　金：安徽省高等学校优秀青年人才基金(2011SQRL021ZD);安徽省高等学校自然科学研究项目基金(KJ2011Z149)

摘　　要：通过活动标架法,研究了复射影空间中具有常数量曲率的全实子流形,得到其成为全脐子流形的刚性定理,并推广了相关结果.In this paper, by choosing a suitable frame field, we discussed the totally real submanifolds with constant scalar curvture in the complex projective space and obtain a rigidity theorem that it becomes totally umbilical submanifold and improve the related results.

关 键 词：复射影空间 全实子流形 数量曲率 全脐 

分 类 号：O186.12[理学—数学]