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

CHRISTIAM FIGUEROA

doi:10.7546/jgsp-60-2021-1-23

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

CHRISTIAM FIGUEROA

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	Inglés
Páginas (desde-hasta)	1-23
Número de páginas	23
Publicación	Journal of Geometry and Symmetry in Physics
Volumen	60
DOI	https://doi.org/10.7546/jgsp-60-2021-1-23
Estado	Publicada - 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.",

keywords = "Gauss map, Heisenberg group, Mean curvature, Tension field",

author = "CHRISTIAM FIGUEROA",

year = "2021",

doi = "10.7546/jgsp-60-2021-1-23",

language = "English",

volume = "60",

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T1 - Gauss maps of the surfaces in the three-dimensional Heisenberg group

AU - FIGUEROA, CHRISTIAM

PY - 2021

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AB - 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.

KW - Gauss map

KW - Heisenberg group

KW - Mean curvature

KW - Tension field

UR - https://www.scopus.com/pages/publications/85115930443

U2 - 10.7546/jgsp-60-2021-1-23

DO - 10.7546/jgsp-60-2021-1-23

M3 - Article

AN - SCOPUS:85115930443

SN - 1312-5192

VL - 60

SP - 1

EP - 23

JO - Journal of Geometry and Symmetry in Physics

JF - Journal of Geometry and Symmetry in Physics

ER -

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

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