arXiv Analytics

Sign in

arXiv:2009.03835 [math.DG]AbstractReferencesReviewsResources

Gauss maps of surfaces in 3-dimentional Heisenberg group

Christiam Figueroa

Published 2020-09-08Version 1

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 $\mathcal{H}_{3}$.

Related articles: Most relevant | Search more
arXiv:math/0606299 [math.DG] (Published 2006-06-13, updated 2010-03-24)
The Gauss map of minimal surfaces in the Heisenberg group
arXiv:1906.09111 [math.DG] (Published 2019-06-21)
On the Gauss map of finite geometric type surfaces
arXiv:1402.7225 [math.DG] (Published 2014-02-28, updated 2015-04-15)
Counting and equidistribution in Heisenberg groups