| 关于SOL流形具有常平均曲率旋转曲面的注记 |
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| 引用本文： | 马红娟,郑喜英,初元红.关于SOL流形具有常平均曲率旋转曲面的注记[J].纯粹数学与应用数学,2014(5):474-479. |
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| 作者姓名： | 马红娟 郑喜英 初元红 |
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| 作者单位： | 黄河科技学院信息工程学院; |
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| 基金项目： | 国家自然科学基金(61304175);河南省教育厅科技攻关项目(14B110024);河南省科技局重点项目(20141374) |
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| 摘 要： | 研究非欧流形SOL 空间上共形平均曲率方程的可解性，通过研究轮廓曲线对具有平均曲率的旋转曲面进行分类。当这些旋转曲面的平均曲率为给定函数时，计算出相应轮廓曲线的微分方程。通过求解这些微分方程，给出旋转函数是其上共形平均曲率的充分条件。
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| 关 键 词： | SOL流形 旋转曲面 平均曲率 共形度量 |
A note on revolution surfaces with constant curvature in SOL manifold |
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| Ma Hongjuan,Zheng Xiying,Chu Yuanhong.A note on revolution surfaces with constant curvature in SOL manifold[J].Pure and Applied Mathematics,2014(5):474-479. |
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| Authors: | Ma Hongjuan Zheng Xiying Chu Yuanhong |
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| Institution: | (Institute of Information Engineering of Huanghe Science and Technology College, Zhengzhou 450063, China) |
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| Abstract: | The conformal mean curvature equation in SOL manifold is studied. According to the characteristics of the conformal metric, the revolution surfaces in SOL manifold are obtained through a profile curve revolving respectively. Assuming that the mean curvatures of these revolution surfaces are certain functions, the corre-sponding differential equations about the profile curves can be obtained. By solving these differential equations, the sufficiant condition of the revolution function with conformal mean curvature is achieved. |
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| Keywords: | SOL manifold revolution surface mean curvature conformal metric |
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