| 平面打结闭曲线上扁形椭圆环面的全平均曲率——Willmore猜想的一个推广 |
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| 引用本文： | 洪涛清.平面打结闭曲线上扁形椭圆环面的全平均曲率——Willmore猜想的一个推广[J].丽水学院学报,2010,32(5):11-13. |
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| 作者姓名： | 洪涛清 |
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| 作者单位： | 丽水学院,数理学院,浙江,丽水,323000 |
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| 摘 要： | 给出了Willmore猜想的一个推广,说明平面打结闭曲线上扁形椭圆环面的全平均曲率蓦∫M2H2dA≥4π2p2,其中p为椭圆的短轴与长轴之比。
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| 关 键 词： | 平面闭曲线 打结曲线 椭圆环面 全平均曲率 Willmore猜想 |
The Completely Equally Curvature of Ellipse Torus on the Planes Closed Curve |
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| Hong Taoqing.The Completely Equally Curvature of Ellipse Torus on the Planes Closed Curve[J].Journal of Lishui University,2010,32(5):11-13. |
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| Authors: | Hong Taoqing |
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| Institution: | Hong Taoqing (College of Mathematics and Physics,Lishui University,Lishui Zhejiang 323000,China) |
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| Abstract: | This paper affords a special case about T.J.Willmore＇s supposition.The completely equally curvature of Ellipse torus on the plane closed curve that supports ∫M2H2dA≥4π2p2,p is the ratio of short axis and long axis of the Ellipse. |
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| Keywords: | plane closed curve tied curve Ellipse torus completely equally curvature Willmore＇s supposition |
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