| 复射影空间中的整体Pinching定理 |
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| 引用本文： | 乐进.复射影空间中的整体Pinching定理[J].武汉大学学报(工学版),1992(5). |
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| 作者姓名： | 乐进 |
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| 作者单位： | 武汉水利电力学院基础科学系 |
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| 摘 要： | 本文讨论了复射影空间的偶维紧致全实极小于流形,得到了几个关于第二基本形式模的平方的整体pinching定理,进而得到了使该类子流形成为全测地子流形的几个充分条件。
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| 关 键 词： | 子流形 紧性 第二基本形式 pinching定理 |
Global Pinching Theorems in Complex Projective Spaces |
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| Yue Jing.Global Pinching Theorems in Complex Projective Spaces[J].Engineering Journal of Wuhan University,1992(5). |
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| Authors: | Yue Jing |
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| Abstract: | The even dimensional compact totally real minimal submanifolds in complex projective spaces are studled and some global pinching theorems on the square length of the second fundamental form are obtained. Thus, some sufficient conditions under which the submanifolds of this kind become totally geodesic are given. |
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| Keywords: | Submanifolds compactness the second fundamental form pinching theorems |
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