新的等温表面
New Isothermic surfaces
摘要：
在本文中，我们考虑一种方法来构造等温曲面的基础上Ribaucour变换。通过应用该理论的圆柱，我们得到了一个三参数家庭的完整的等温表面，其中包含n-气泡表面的内部和外部的圆柱。此外，我们还得到了具有平面端点的单参数完全等温曲面族。这类等温曲面不具有恒定的中曲率。作为应用，我们得到了Calapso方程的显式解.
英文摘要：
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.
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