| 单位球面上具有平行平均曲率向量的紧致子流形 |
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| 引用本文： | 乐进.单位球面上具有平行平均曲率向量的紧致子流形[J].武汉大学学报(工学版),1994(6). |
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| 作者姓名： | 乐进 |
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| 作者单位： | 武汉水利电力大学应用数学系 |
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| 摘 要： | 研究单位球面上具有平行平均曲率向量的紧致子流形，得到了一个积分不等式和一个关于第二基本形式模长平方的拼挤定理．
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| 关 键 词： | 子流形 第二基本形式 积分不等式 紧致性 |
Compact Submanifolds with Parallel Mean Curvature Vectors in Unit Spheres |
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| Yue Jin.Compact Submanifolds with Parallel Mean Curvature Vectors in Unit Spheres[J].Engineering Journal of Wuhan University,1994(6). |
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| Authors: | Yue Jin |
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| Affiliation: | Depart men t of Applied Mathematics |
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| Abstract: | This paper deals with the compact submanifolds with parallel mean curvature vectors in unit spheres. An integral inequality and a pinching theorem on the square length of the second fundamental form are obtained. |
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| Keywords: | submanifolds second fundamental form integral inequality compactness |
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