The Gauss map of Minimal graphs in the Heisenberg group

Published 3 Jun 2011 in math.DG | (1106.0779v2)

Abstract: 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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Christiam Figueroa

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