关于复射影空间共形平坦、正曲率全实子流形的一点注记  

A Remark on Conformally Flat Positively Curved Totally Real Submanifolds in CPn

作　　者：杨巍纳[1] 

机构地区：[1]河南大学<数学季刊>编辑部,河南开封475001

出　　处：《信阳师范学院学报（自然科学版）》2008年第3期341-343,共3页Journal of Xinyang Normal University(Natural Science Edition)

摘　　要：研究了复射影空间CP4中共形平坦的正曲率全实子流形M,分别在M极小与M伪脐2种情况下,得到M的体积V(M)的下确界Vm和达到下确界的充要条件.A conformally flat positively curved totally real submanifold M in CP^4 is studied. Both the infimum Vm of the Volume V（M） of M and the necessary and sufficient conditions of ＂V（M） = Vm＂ are obtained under 2 cases of minimal M and pseudoumbilical M.

关 键 词：共形平坦 全实极小 伪脐 2-调和子流形 

分 类 号：O186.16[理学—数学]