Gauss Maps of the Surfaces in the Three-Dimensional Heisenberg Group

IF 0.5 Q4 PHYSICS, MATHEMATICAL

Journal of Geometry and Symmetry in Physics Pub Date : 2021-07-01 DOI:10.7546/jgsp-60-2021-1-23

Christiam Figueroa

引用次数: 0

Abstract

In this paper we study the Gauss map of surfaces in three-dimensional Heisenberg group using the Gans model of the hyperbolic plane. We establish a relationship between the tension fields of the Gauss maps and the mean curvatures of the surfaces in $\mathcal{H}_{3}$.

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三维海森堡群表面的高斯映射

本文利用双曲平面的甘斯模型研究了三维海森堡群中曲面的高斯映射。我们在$\mathcal{H}_{3}$中建立了高斯映射的张力场与曲面平均曲率的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Geometry and Symmetry in Physics PHYSICS, MATHEMATICAL-

CiteScore

1.50

自引率

25.00%

发文量

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