| 常拟常曲率黎曼流形中具有常数量曲率的完备超曲面 |
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| 引用本文： | 李明图,裴瑞昌,丁恒飞.常拟常曲率黎曼流形中具有常数量曲率的完备超曲面[J].甘肃联合大学学报(自然科学版),2010,24(1):29-33. |
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| 作者姓名： | 李明图 裴瑞昌 丁恒飞 |
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| 作者单位： | 天水师范学院,数学与统计学院,甘肃,天水,741001 |
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| 摘 要： | 讨论常拟常曲率黎曼流形中具有常数量曲率的完备超曲面．在超曲面和单位向量场e相切时，得到了关于这类超曲面的一个分类定理．
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| 关 键 词： | 拟常曲率黎曼流形 单位向量场 数量曲率 超曲面 全脐 |
Complete Hypersurfaces with Constant Scalar Curvature in the Riemannian Manifolds of Constant-quasi-constant Curvature |
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| LI Ming-tu.Complete Hypersurfaces with Constant Scalar Curvature in the Riemannian Manifolds of Constant-quasi-constant Curvature[J].Journal of Gansu Lianhe University :Natural Sciences,2010,24(1):29-33. |
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| Authors: | LI Ming-tu |
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| Institution: | School of Mathematics and Statistics;Tianshui Normal College;Tianshui 741001;China |
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| Abstract: | In this paper,the complete hypersurface with constant scalar curvature in riemannian manifolds of constant-quasi-constant curvature was discussed,one classification theorem of the hypersurface was obtained. |
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| Keywords: | riemannian manifold of quasi-constant curvature unit vector field scalar curvature hypersurface totally umbilical |
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