The Gauss map of Minimal graphs in the Heisenberg group

Details The Gauss map of Minimal graphs in the Heisenberg group The Gauss map of Minimal graphs in the Heisenberg group

2011-06-03

arxiv.org/abs/1106.0779v2

Mathematics

Differential Geometry

22 pages

Scientific paper

In this paper we study some geometric properties of surfaces in the
Heisenberg group, $\mathcal{H}_{3}.$ We obtain, using the Gauss map for Lie
groups, a partial classification of minimal graphs in $\mathcal{H}_{3}.$ We
also proof the non existence of umbilical surfaces in $\mathcal{H}_{3}.$

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