| 单位球面中极小子流形的内蕴刚性定理 |
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| 引用本文： | 王银河.单位球面中极小子流形的内蕴刚性定理[J].内蒙古师范大学学报(自然科学版),1991(4):26-32. |
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| 作者姓名： | 王银河 |
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| 作者单位： | 内蒙古师大数学系 |
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| 摘 要： | 本文讨论了单位球面S~(n+p)中极小子流形的性质,给出了一个关于黎曼曲率张量长度平方的Pinching定理和一个用内蕴不等式刻划的分类定理。
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| 关 键 词： | 球面 子流形 极小 黎曼曲率张量 |
The Intrinsic Rigidity Theorem For Minimal Submanifolds In a Unit Sphere |
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| Wang Yinhe.The Intrinsic Rigidity Theorem For Minimal Submanifolds In a Unit Sphere[J].Journal of Inner Mongolia Normal University(Natural Science Edition),1991(4):26-32. |
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| Authors: | Wang Yinhe |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper, we get a pinching theorem of the length of Rie manniancurvature tensor and a intrinsic rigidity theorem for minimal submanifolds in a unit sphere S~(n+p). |
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| Keywords: | Minimal submanifolds Riemannian curvature tensor Sectional curvature |
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