| Finite Type Non—Minimal Submanifolds |
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| 引用本文： | 宋鸿藻,吴报强.Finite Type Non—Minimal Submanifolds[J].数学季刊,1992,7(4):76-83. |
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| 作者姓名： | 宋鸿藻 吴报强 |
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| 作者单位： | Henan University，Xuzhou Teachers College Kaifeng |
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| 基金项目： | Supported by the National Fundations of Natural sciences. Supported by the Henan Fundations of Scientific Committee. |
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| 摘 要： | The notion of finite type xubmanifolds was introduced by B.Y.Chen.In this paper we consider the characteristics and the classifications of finite type non-minimal submanifolds.The characteristic theorems of 2-type Chen submanifolds、mass-symmetric hypersurfaces and Dupin hypersurfaces in Es^m are obtained.The classification theorems of 3-type hypersurfaces and null 2-type curves in Es^m are also proved.
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| 关 键 词： | 有限型子流形 伪黎曼球面 欧氏空间 拉普拉斯算子 极小子流形 零L型曲线 |
Finite Type Non-Minimal Submanifolds |
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| Song Hongzao Wu Baoqiang.Finite Type Non-Minimal Submanifolds[J].Chinese Quarterly Journal of Mathematics,1992,7(4):76-83. |
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| Authors: | Song Hongzao Wu Baoqiang |
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| Institution: | [1]HenanUniversity,Kaifeng [2]XuzhouTeachersCollege,Kaifeng |
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| Abstract: | The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper we consider the characteristics and the classifications of finite type non-minimal submanifolds. The characteristic theorems of 2-type Chen submanifolds,mass-symmetrie hypersurfaces and Dupin hypersurfaces in E_3~m are obtained. The classification theorems of 3-type hypersurfaces and null 2-type curves in E_3~m are also proved. |
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| Keywords: | Finite Type Submanifolds Minimal Submanifolds |
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