| COMPLETE SUBMANIFOLDS IN E~(n+p)WITH PARALLEL MEAN CURVATURE |
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| 作者姓名： | Shen Yibing |
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| 作者单位： | Department of |
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| 基金项目： | Projects Supported by the Science Fund of the Chinese Academy of Science. |
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| 摘 要： | This paper gives a pinching condition by which complete submanifolds in aEuclidean space can be classified completely.In particular,a characterization for acomplete submanifold in a Euclidean space to be totally umbilical is shown.
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| 收稿时间： | 1983/7/18 0:00:00 |
Complete Submanifolds in E^n+p with Parallel Mean Curvature |
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| Shen Yibing.COMPLETE SUBMANIFOLDS IN E~(n+p)WITH PARALLEL MEAN CURVATURE[J].Chinese Annals of Mathematics,Series B,1985,6(3):345-350. |
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| Authors: | Shen Yibing |
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| Institution: | Department of Mathematics, Hangzhou University, Zhejiang, China. |
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| Abstract: | This paper gives a pinching condition by which complete submanifolds in a
Euclidean space can be classified completely. In particular, a characterization for a complete submanifold in a Euclidean space to be totally umbilical is shown. |
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| Keywords: | |
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