Harmonic maps between pseudo-Riemannian surfaces

DOI10.1016/J.GEOMPHYS.2024.105340MaRDI QIDQ6638289

Costas Daskaloyannis, Anestis Fotiadis

Publication date: 14 November 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

harmonic mapssine-Gordon equationBeltrami equationwave mapsLorentz surfacespseudo-Riemann surfaces

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Applications of PDEs on manifolds (58J90) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

• Title not available (Why is that?)
• Maximal surfaces and the universal Teichmüller space
• Counterexample to a conjecture of H. Hopf
• The Teichmüller theory of harmonic maps
• Infinite energy harmonic maps and degeneration of hyperbolic surfaces in moduli space
• Harmonic maps on hyperbolic spaces with singular boundary value
• Uniqueness and regularity of proper harmonic maps
• Complex analysis, maximal immersions and metric singularities
• Beltrami equation for the harmonic diffeomorphisms between surfaces
• Pseudospherical surfaces with singularities
• The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics
• Time-like surfaces in the Lorentz-Minkowski space with prescribed Gaussian curvature and Gauss map
• The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• The wave maps equation
• The elliptic sinh-Gordon equation in the half plane
• Riemannian geometry and geometric analysis

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