The Gauss map of Minimal graphs in the Heisenberg group

2011/06/03 by Christiam Figueroa, Figueroa, Christiam · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.1106.0779

22 pages

openalex publication_date 2011/06/03 · arxiv created 2011/06/14 · arxiv updated 2011/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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• Traslation surfaces in the Heisenberg Group

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