| 局部对称流形中具常平均曲率的完备超曲面 |
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| 引用本文： | 舒世昌,刘三阳.局部对称流形中具常平均曲率的完备超曲面[J].数学进展,2004,33(5):563-569. |
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| 作者姓名： | 舒世昌 刘三阳 |
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| 作者单位： | 1. 西安电子科技大学应用数学系,西安,陕西,710071;咸阳师范学院数学系,咸阳,陕西,712000
2. 西安电子科技大学应用数学系,西安,陕西,710071 |
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| 基金项目： | This research was supported by NSFC(No.69972036) and NSF of Shaanxi Province. |
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| 摘 要： | 本文研究了局部对称流形中具常平均曲率的完备超曲面，得到了这种超曲面的一个特征定理，推广了H．Alencar和M．do Carmo以及N．X．Shui和G．Q．Wu的结果。
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| 关 键 词： | 超曲面 常平均曲率 局部对称流形 特征定理 推广 |
Complete Hypersurfaces With Constant Mean Curvature in Locally Symmetric Manifold |
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| Abstract.Complete Hypersurfaces With Constant Mean Curvature in Locally Symmetric Manifold[J].Advances in Mathematics,2004,33(5):563-569. |
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| Authors: | Abstract |
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| Abstract: | In this paper, the complete hypersurfaces with constant mean curvature in locally symmetric manifold are investigated, a characteristic theorem of complete hypersurface in locally symmetric manifold is obtained, which generalizes the results obtained by N. X. Shui and G. Q. Wu as well as H. Alencar and M. do Carmo. |
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| Keywords: | locally symmetric hypersurfaces totally umbilic |
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