论文标题
新的等温表面
New Isothermic surfaces
论文作者
论文摘要
在本文中，我们考虑了一种基于Ribaucour转换的等温表面的方法。通过将理论应用于圆柱体，我们获得了一个三参数的全等温表面家族，该家族包含圆柱体内外的N-泡表面。此外，我们还获得了具有平面末端的完整等温表面的一个参数家族。这种等温表面家族没有恒定的平均曲率。作为安置，我们获得了Calapso方程的显式解决方案。
In this paper, we consider a method of constructing isothermic surfaces based on Ribaucour transformations. By applying the theory to the cylinder, we obtain a three-parameter family of complete isothermic surfaces that contains n-bubble surfaces inside and outside of the cylinder. In addition, we also obtain one-parameter family of complete isothermic surface with planar ends. Such family of isothermic surfaces do not have constant mean curvature. As aplication we obtain explicit solutions of the Calapso equation.
