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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-23
Number of pages	23
Journal	Journal of Geometry and Symmetry in Physics
Volume	60
DOIs	https://doi.org/10.7546/jgsp-60-2021-1-23
State	Published - 2021

Keywords

Gauss map
Heisenberg group
Mean curvature
Tension field

Access to Document

10.7546/jgsp-60-2021-1-23

Cite this

@article{8d5233bdcca74cf5ba8cc46c4c318821,

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",

pages = "1--23",

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

issn = "1312-5192",

}

TY - JOUR

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

AU - FIGUEROA, CHRISTIAM

PY - 2021

Y1 - 2021

N2 - 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.

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 - http://www.scopus.com/inward/record.url?scp=85115930443&partnerID=8YFLogxK

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this