Gauss maps of surfaces in 3-dimensional Heisenberg group

2020/09/08 by Christiam Figueroa, Figueroa, Christiam
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2009.03835

Abstract

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 H₃.

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