| 关于紧致极小子流形 |
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| 引用本文： | 乐进,葛冀川.关于紧致极小子流形[J].武汉大学学报(工学版),1996(6). |
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| 作者姓名： | 乐进 葛冀川 |
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| 摘 要： | 研究单位球面中紧致极小子流形，计算和估计第二基本形式长度的平方的Ｌａｐｌａｃｉａｎ，引进一个矩阵不等式，运用散度定理得到了一个Ｓｉｍｏｎｓ型积分不等式．
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| 关 键 词： | 极小子流形 第二基本形式 积分不等式 紧致子流形 |
On Compact Minimal Submanifolds |
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| Yue Jin, Ge Jichuan.On Compact Minimal Submanifolds[J].Engineering Journal of Wuhan University,1996(6). |
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| Authors: | Yue Jin Ge Jichuan |
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| Affiliation: | Department of Applied Mathematics |
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| Abstract: | This note deals with the compact minimal submanifolds in a unit sphere, the Laplaciano f the square of the length of the second fundamental form is calculated and estimated. By meanso f a matrix inequality and the divergence theorem, an integral inequality Of Simons type isobtained. |
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| Keywords: | minimal submanifolds the second fundamental form integral inequalities compactsubmanifolds |
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