论文标题
三维海森贝格组中表面的高斯图
Gauss maps of surfaces in 3-dimensional Heisenberg group
论文作者
论文摘要
在本文中,我们使用双曲平面的gans模型研究了三维海森贝格组中表面的高斯图。我们建立了高斯图的张力字段与$ \ Mathcal {h} _ {3} $中表面的平均曲率之间的关系。
In this paper, we study the Gauss map of surfaces in 3-dimensional Heisenberg group using the Gans model of the hyperbolic plane. We establish a relationship between the tension field of the Gauss map and mean curvature of a surface in $\mathcal{H}_{3}$.