Lorentzian surfaces with constant curvatures and transformations in the 3-dimensional lorentzian space

被引：2

作者：

Park, Joonsang ^{[1
]}

机构：

[1] Dongguk Univ, Dept Math, Seoul 100715, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 01期

关键词：

spacelike surface; timelike surface; Gaussian curvature; mean curvature; (elliptic) sine-Gordon; (hyperbolic) sinh-Gordon; Grassmannian system;

D O I：

10.4134/JKMS.2008.45.1.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Lorentzian surfaces with the constant Gaussian curvatures or the constant mean curvatures in the 3-dimensional Lorentzian space and their transformations. Such surfaces are associated to the Lorentzian Grassmannian systems and some transformations on such surfaces are given by dressing actions on those systems.

引用

页码：41 / 61

页数：21

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