| 关于复射影空间中的全实全脐和全实伪脐子流形 |
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| 引用本文： | 张量.关于复射影空间中的全实全脐和全实伪脐子流形[J].安徽师范大学学报(自然科学版),2005,28(3):263-265. |
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| 作者姓名： | 张量 |
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| 作者单位： | 安徽师范大学,数学与计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 获得了复射影空间中全实全脐子流形的若干性质,并且证明了复射影空间中具有平行平均曲率向量的正曲率紧致全实子流形必是伪脐的.
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| 关 键 词： | 复射影空间 全实子流形 全脐子流形 伪脐子流形 |
| 文章编号： | 1001-2443（2005）03-0263-03 |
| 收稿时间： | 2005-03-07 |
| 修稿时间： | 2005年3月7日 |
ON TOTALLY REAL TOTALLY UMBILICAL AND TOTALLY REAL PSEUDO-UMBILICAL SUBMANIFOLDS OF A COMPLEX PROJECTIVE SPACE |
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| ZHANG Liang.ON TOTALLY REAL TOTALLY UMBILICAL AND TOTALLY REAL PSEUDO-UMBILICAL SUBMANIFOLDS OF A COMPLEX PROJECTIVE SPACE[J].Journal of Anhui Normal University(Natural Science Edition),2005,28(3):263-265. |
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| Authors: | ZHANG Liang |
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| Institution: | College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China |
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| Abstract: | In this paper, some properties of totally real and totally umbilical submanifolds of a complex projective space are obtained. We also prove that a compact totally real submanifold with positive curvature and parallel mean curvature vector of a complex projective space must be pseudo-umbilical. |
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| Keywords: | complex projective space totally real submanifolds totally umbilical submanifolds pseudo-umbilical submanifolds |
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