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.
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 the apex and origin, and the different parameters, when a on the catenoid means the distance between pitch on the helicoid turns to b （b means the ratio of velocity to angular velocity）.
出处
《湖州师范学院学报》
2012年第1期23-26,共4页
Journal of Huzhou University
关键词
悬链面
正螺面
等距等价
保角变换
the catenoid
the helicoid
sometric correspondence
angle - preserving transformation
