Harmonicity of the inverse of a harmonic diffeomorphism

DOI10.1016/j.jmaa.2011.12.019zbMath1247.31001OpenAlexW1977868752MaRDI QIDQ663738

Xingdi Chen, Ai-nong Fang

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.019

zbMATH Keywords

harmonic mappingsharmonic quasiconformal diffeomorphismsHopf differentialsreversible harmonic diffeomorphisms

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic functions on Riemann surfaces (30F15) Quasiconformal mappings in the complex plane (30C62)

Related Items (3)

The inverse of a \(\sigma (z)\)-harmonic diffeomorphism ⋮ Non-stretch mappings for a sharp estimate of the Beurling-Ahlfors operator ⋮ Estimation of hyperbolically partial derivatives of ρ-harmonic quasiconformal mappings and its applications

Cites Work

• Harmonic maps between annuli on Riemann surfaces
• Integral means and arclength inequalities for typically real logharmonic mappings
• Integrability of rotationally symmetric \(n\)-harmonic maps
• Harmonic Teichmüller mappings
• A note on harmonic quasiconformal mappings
• On the univalence of functions with logharmonic Laplacian
• On univalent harmonic maps between surfaces
• On the boundary value problem for harmonic maps of the Poincaré disc
• Harmonic maps on hyperbolic spaces with singular boundary value
• The heat equation and harmonic maps of complete manifolds
• Quasi-conformal harmonic diffeomorphism and the universal Teichmüller space
• Gauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space
• Schwarzian derivative and Landau's theorem for logharmonic mappings
• HARMONIC DIFFEOMORPHISMS OF NONCOMPACT SURFACES AND TEICHMÜLLER SPACES
• Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
• The composition of harmonic mappings
• Univalent Functions in H ⋅ _ H   (D)
• Harmonic univalent functions
• Harmonic Mappings of Riemannian Manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Harmonicity of the inverse of a harmonic diffeomorphism