| 由仿射平均曲率支配的超曲面的发展 |
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| 引用本文： | 刘艳楠.由仿射平均曲率支配的超曲面的发展[J].应用泛函分析学报,2012(2):132-134. |
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| 作者姓名： | 刘艳楠 |
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| 作者单位： | 北京工商大学应用数学系 |
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| 基金项目： | 国家自然科学基金(11026121) |
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| 摘 要： | 研究由仿射平均曲率支配的严格凸超曲面的发展运动.在假定仿射平均曲率流存在并且曲面保持严格凸的条件下,通过对曲面支撑函数的计算,给出了高斯曲率的发展方程.
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| 关 键 词： | 四阶抛物方程 仿射平均曲率流 仿射极大曲面 |
Evolution of Hypersurfaces by Their Affine Mean Curvarure |
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| LIU Yannan.Evolution of Hypersurfaces by Their Affine Mean Curvarure[J].Acta Analysis Functionalis Applicata,2012(2):132-134. |
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| Authors: | LIU Yannan |
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| Institution: | LIU Yannan Beijing Technology and Business University,Beijing 100048,China |
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| Abstract: | In this paper,we consider the evolution of strictly convex hypersurfaces by their affine mean curvature.Assuming that the flow smoothly exists and strict convexity is preserved by the flow,we give the evolution equation of the Guass curvature using support function. |
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| Keywords: | parabolic equation of the fourth order affine maximal surface affine mean curvature flow |
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