New examples of harmonic diffeomorphisms of the hyperbolic plane onto itself

DOI10.1007/BF01278983zbMath0669.58012OpenAlexW1987177578MaRDI QIDQ1118876

Hyeong In Choi, Andrejs E. Treibergs

Publication date: 1988

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155345

zbMATH Keywords

Minkowski spaceharmonic mapshyperbolic planenonconformal harmonic diffeomorphisms

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items (8)

Rotationally symmetric harmonic diffeomorphisms between surfaces ⋮ Harmonic diffeomorphisms between the annuli with rotational symmetry ⋮ Beltrami equation for the harmonic diffeomorphisms between surfaces ⋮ Foliated Plateau problem. II: Harmonic maps of foliations ⋮ A Hamiltonian system on hyperbolic space and associated harmonic maps ⋮ Harmonic Diffeomorphisms of the Hyperbolic Plane ⋮ The heat equation and harmonic maps of complete manifolds ⋮ The heat flow and harmonic maps between complete manifolds

Cites Work

• Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
• On univalent harmonic maps between surfaces
• The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space
• Gauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space
• Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
• The Tension Field of the Gauss Map

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