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arXiv · 2009.03835

Gauss maps of surfaces in 3-dimensional Heisenberg group

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 $\mathcal{H}_{3}$.

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Christiam Figueroa. 2021-02-22. Gauss maps of surfaces in 3-dimensional Heisenberg group. https://arxiv.org/abs/2009.03835

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