| 悬链面与正螺面之间的内在关系 |
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| 引用本文： | 莫妮佳,纪永强.悬链面与正螺面之间的内在关系[J].湖州师范学院学报,2012(1):23-26. |
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| 作者姓名： | 莫妮佳 纪永强 |
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| 作者单位： | 湖州师范学院理学院 |
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| 摘 要： | 研究了两类著名的且极其重要的极小曲面——悬链面与正螺面之间的内在联系.得到了具有不同参数的悬链面和正螺面是成等角对应,即当悬链面中顶点到原点的距离为a,正螺面中的螺距变成b时(其中b是速度与角速度的比值),则悬链面与正螺面是成等角对应的关系.
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| 关 键 词： | 悬链面 正螺面 等距等价 保角变换 |
The Inside Relation Between the Catenoid and Helicoid |
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| MO Ni-jia,JI Yong-qiang.The Inside Relation Between the Catenoid and Helicoid[J].Journal of Huzhou Teachers College,2012(1):23-26. |
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| Authors: | MO Ni-jia JI Yong-qiang |
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| Institution: | (Faculty of Science,Huzhou Teachers College,Huzhou 313000,China) |
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| Abstract: | This paper mainly introduces the inside relation between the catenoid and helicoid.They are two types of famous and very important minimal surfaces.It proves there is a conformal mapping between the two surfaces with different parameters,when a on the catenoid means the distance between the apex and origin,and the pitch on the helicoid turns to b(b means the ratio of velocity to angular velocity). |
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| Keywords: | the catenoid the helicoid sometric correspondence angle-preserving transformation |
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