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2021 Gauss Maps of the Surfaces in the Three-Dimensional Heisenberg Group
Christiam Figueroa
J. Geom. Symmetry Phys. 60: 1-23 (2021). DOI: 10.7546/jgsp-60-2021-1-23

Abstract

In this paper we study the Gauss map of surfaces in three-dimensional Heisenberg group using the Gans model of the hyperbolic plane. We establish a relationship between the tension fields of the Gauss maps and the mean curvatures of the surfaces in $\mathcal{H}_3$.

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Christiam Figueroa. "Gauss Maps of the Surfaces in the Three-Dimensional Heisenberg Group." J. Geom. Symmetry Phys. 60 1 - 23, 2021. https://doi.org/10.7546/jgsp-60-2021-1-23

Information

Published: 2021
First available in Project Euclid: 4 August 2021

Digital Object Identifier: 10.7546/jgsp-60-2021-1-23

Rights: Copyright © 2021 Institute of Mechanics, Bulgarian Academy of Sciences

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