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
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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.Abstract: A conformally flat positively curved totally real submanifold M in CP4 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.