Gauss maps of the surfaces in the three-dimensional Heisenberg group

Christiam Figueroa

Gauss maps of the surfaces in the three-dimensional Heisenberg group

Sección de Matemáticas

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Resumen

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 H3.

Idioma original	Español
Publicación	Journal of Geometry and Symmetry in Physics
Volumen	60
Estado	Publicada - 1 ene. 2021

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title = "Gauss maps of the surfaces in the three-dimensional Heisenberg group",

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 H3.",

author = "Christiam Figueroa",

year = "2021",

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language = "Espa{\~n}ol",

volume = "60",

journal = "Journal of Geometry and Symmetry in Physics",

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SN - 1312-5192

VL - 60

JO - Journal of Geometry and Symmetry in Physics

JF - Journal of Geometry and Symmetry in Physics

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