| 局部对称共形平坦黎曼流形中具常平均曲率的完备超曲面 |
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| 引用本文： | 戴国元,王清玲,陈抚良. 局部对称共形平坦黎曼流形中具常平均曲率的完备超曲面[J]. 江西师范大学学报(自然科学版), 2008, 32(4) |
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| 作者姓名： | 戴国元 王清玲 陈抚良 |
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| 作者单位： | 江西师范大学,数学与信息科学学院,江西,南昌,330022;江西蓝天学院,公共数学部,江西,南昌,330029 |
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| 摘 要： | 该文研究局部对称共形平坦黎曼流形中具常平均曲率的完备超曲面,得到了这类超曲面全脐的一个结果,推广了前人的结果.
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| 关 键 词： | 共形平坦 全脐 超曲面 |
Complete Hypersurfaces with Constant Mean Curvature in Locally Symmetric Conformally Flat Riemannian Manifold |
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| DAI Guo-yuan,WANG Qing-ling,CHEN Fu-liang. Complete Hypersurfaces with Constant Mean Curvature in Locally Symmetric Conformally Flat Riemannian Manifold[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2008, 32(4) |
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| Authors: | DAI Guo-yuan WANG Qing-ling CHEN Fu-liang |
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| Affiliation: | 1.Institute of Mathematics and Informatics;Jiangxi Normal University;Nanchang 330022;China;2.Department of Common Education;Jiangxi Bluesky University;Nanchang 330029;China |
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| Abstract: | In this paper,the complete hypersurfaces with constant mean curvature in locally symmetric conformally flat manifold is studied.The result in this paper generalizes the theorem in reference of Hou Z H. |
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| Keywords: | conformally flat totally umbilic hypersurfaces |
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