| 关于外在刚性定理的两个结果 |
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| 引用本文： | 余建辉.关于外在刚性定理的两个结果[J].广西师范学院学报(自然科学版),1998(1). |
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| 作者姓名： | 余建辉 |
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| 作者单位： | 福州大学数学系 |
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| 摘 要： | 在［１］中陈省身证出：如果Ｍ是Ｓｎ＋１中闭的可定向极小超曲面。则若Ｍ的高斯象位于Ｓｎ＋１的开半球内，那末Ｍ必是全测地。在［２］中李安民对ｎ＝２的情形给予了改进。本文进一步改进了［２］中的结果，并对Ｓ４中的二维极小子流形，也作了讨论。
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| 关 键 词： | 全测地 高斯象 次调和函数 |
THE TWO RESULTS REGARDING EXTRINSIC RIGIDITY THEOREMS |
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| Yu,Jianhui.THE TWO RESULTS REGARDING EXTRINSIC RIGIDITY THEOREMS[J].Journal of Guangxi Teachers Education University:Natural Science Edition,1998(1). |
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| Authors: | Yu Jianhui |
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| Abstract: | In,Cherm Shiing-Shen had proved:Let M be a closed oriented minimal hypersurface in S n+1 .If the image of the Gauss map of M lies in an open hemisphere of S n+1 ,then M must be totally geodesic.In ,when n=2,Li An-Min improved the result of Chern's.This paper makes further improvement on the result in .In the meantime,it gives a discussion on the case of two-dimensional minimal submanifolds in S 4. |
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| Keywords: | totally geodesic image of the Gauss map subharmonic function |
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