| 拟常曲率黎曼流形中具有平行平均曲率向量场的完备子流形 |
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| 引用本文： | 谢寿才.拟常曲率黎曼流形中具有平行平均曲率向量场的完备子流形[J].四川师范大学学报(自然科学版),1993(5). |
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| 作者姓名： | 谢寿才 |
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| 作者单位： | 四川师范大学化学系 |
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| 摘 要： | 本文将常曲率流形的子流形的两个定理推广到拟常曲率外围流形的情形,得到了全脐的一个充分条件.
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| 关 键 词： | 拟常曲率 平均曲率向量 全脐 |
COMPLETE SUBMANIFOLDS IN QUASI-CONSTANT CURVATURE RIEMANNIAN MANIFOLD WITH PARALLE MEAN CURVATURE |
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| Xie Shoucai.COMPLETE SUBMANIFOLDS IN QUASI-CONSTANT CURVATURE RIEMANNIAN MANIFOLD WITH PARALLE MEAN CURVATURE[J].Journal of Sichuan Normal University(Natural Science),1993(5). |
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| Authors: | Xie Shoucai |
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| Institution: | Department of Chemistry |
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| Abstract: | We generalize the two theorems of submanifolds in constant curvature manifolds to the external sphere mani-folds in quasi-constant curvature. |
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| Keywords: | quasi-constant curvature mean curvature vector umbilical submanifolds |
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