New examples of harmonic diffeomorphisms of the hyperbolic plane onto itself
type: Item
instance of: scholarly article
title: New examples of harmonic diffeomorphisms of the hyperbolic plane onto itself
zbMATH Open document ID: 0669.58012
DOI: 10.1007/BF01278983
author: Hyeong In Choi
author: Andrejs Treibergs
published in: Manuscripta Mathematica
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155345
review text: The authors give an explicit construction of a one-parameter family of nonconformal harmonic diffeomorphisms of the hyperbolic plane. They are realized as the Gauss map of spacelike surfaces of revolution of constant mean curvature in the three-dimensional Minkowski space. A description of the boundary behavior of such harmonic maps is also given.
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 4096416
zbMATH Keywords: nonconformal harmonic diffeomorphisms
zbMATH Keywords: hyperbolic plane
zbMATH Keywords: Minkowski space
zbMATH Keywords: harmonic maps
reviewed by: Gábor Tóth
MaRDI profile type: Publication
cites work: The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space
cites work: Spacelike hypersurfaces with prescribed boundary values and mean curvature
cites work: Gauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space
cites work: Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space
cites work: Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
cites work: The Tension Field of the Gauss Map
cites work: On univalent harmonic maps between surfaces
cites work: Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
OpenAlex ID: W1987177578
description: scientific article; zbMATH DE number 4096416