English

Gauss maps of surfaces in 3-dimensional Heisenberg group

Differential Geometry 2021-02-24 v2

Abstract

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 H3\mathcal{H}_{3}.

Keywords

Cite

@article{arxiv.2009.03835,
  title  = {Gauss maps of surfaces in 3-dimensional Heisenberg group},
  author = {Christiam Figueroa},
  journal= {arXiv preprint arXiv:2009.03835},
  year   = {2021}
}