| 复射影空间的全实伪脐子流形 |
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| 引用本文： | 杜红权.复射影空间的全实伪脐子流形[J].浙江大学学报(理学版),1998,25(2):8-14. |
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| 作者姓名： | 杜红权 |
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| 作者单位： | (杭州大学数学与信息科学系 杭州310028) |
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| 摘 要： | 设CPn 是具有全纯截面曲率为4 的Fubini -Study 度量的n 维复射影空间.设Mn 是CPn 的全实子流形, 若Mn 关于平均曲率向量场ξ是脐性的, 或Mn 是极小的, 则称Mn 是CPn 的全实伪脐子流形.本文得到关于CPn 的紧致全实伪脐子流形Mn 的S , ξ和H 这三个重要不变量的几个命题和定理.
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| 关 键 词： | 复射影空间 伪脐 全实子流形 1 |
Totally Real Pseudo-Umbilical Submanifold in a Complex Projective Space |
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| Du Hongquan.Totally Real Pseudo-Umbilical Submanifold in a Complex Projective Space[J].Journal of Zhejiang University(Sciences Edition),1998,25(2):8-14. |
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| Authors: | Du Hongquan |
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| Institution: | (Department of Mathematics and I nformation Sciences of Hangzhou University , Hangzhou 310028) |
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| Abstract: | Let CPn be an n -dimensio nal complex projective space with Fubini -Study metric of constant holomorphic sectional curvature 4 and Mn be a totally real submanifold in CPn .I f Mn is either umbilical in respect to mean curv ature vector field ξor minimal, then Mn is called a totally real pseudo -umbilical submanifo ld in CPn .In this paper , w e get sev eral propositions and theo rems about S , ξand H w hich are three important invariants in compact totally real pseudo -umbilical submanifold Mn . |
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| Keywords: | complex projective space pseudo-umbilical totally real submanifold |
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