论文标题
$ε$ - 渗透表面伪 - 欧几里得3空间
$ε$-isothermic surfaces in pseudo-Euclidean 3-space
论文作者
论文摘要
在本文中，我们描述了伪 - 欧几里得3空间中的$ε$ - 等温表面，并获得了伪瓦拉普索方程。在序列上，我们对具有不同主曲线的伪欧亚人3空间中的dupin表面进行了分类，并为此类表面提供明确的坐标。作为理论的应用，我们给出了伪calapso方程的明确解决方案。
In this paper we describe the $ε$-isothermic surfaces in the pseudo-Euclidean 3-space and we obtain the pseudo-Calapso equation. In sequence, we classify the Dupin surfaces in pseudo-Euclidean 3-space having distinct principal curvatures and provide explicit coordinates for such surfaces. As application of the theory, we give explicit solutions to the pseudo-Calapso equation.
