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The Gauss map of Minimal graphs in the Heisenberg group

Differential Geometry 2011-06-15 v2

Abstract

In this paper we study some geometric properties of surfaces in the Heisenberg group, H3.\mathcal{H}_{3}. We obtain, using the Gauss map for Lie groups, a partial classification of minimal graphs in H3.\mathcal{H}_{3}. We also proof the non existence of umbilical surfaces in H3.\mathcal{H}_{3}.

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Cite

@article{arxiv.1106.0779,
  title  = {The Gauss map of Minimal graphs in the Heisenberg group},
  author = {Christiam Figueroa},
  journal= {arXiv preprint arXiv:1106.0779},
  year   = {2011}
}

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22 pages