Harmonic degree 1 maps are diffeomorphisms: Lewy’s theorem for curved metrics
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Publication:3449002
DOI10.1090/S0002-9947-2015-06444-7zbMath1350.30033arXiv1310.4872OpenAlexW1973153206MaRDI QIDQ3449002
Publication date: 3 November 2015
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4872
Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Quasiconformal mappings in the complex plane (30C62)
Related Items (5)
Quasihyperbolic quasi-isometry and Schwarz lemma of planar flat harmonic mappings ⋮ The inverse of a \(\sigma (z)\)-harmonic diffeomorphism ⋮ Topological regularity for solutions to the generalised Hopf equation ⋮ Radó-Kneser-Choquet theorem for harmonic mappings between surfaces ⋮ Energy-minimal Principles in Geometric Function Theory.
Cites Work
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- An invitation to \(n\)-harmonic hyperelasticity
- The boundary correspondence under quasiconformal mappings
- On certain nonlinear elliptic differential equations and univalent mappings
- Harmonic maps between surfaces (with a special chapter on conformal mappings)
- The Teichmüller theory of harmonic maps
- On the existence of harmonic diffeomorphisms between surfaces
- Constant mean curvature surface, harmonic maps, and universal Teichmüller space
- On univalent harmonic maps between surfaces
- Uniqueness and regularity of proper harmonic maps
- On the non-vanishing of the Jacobian of a homeomorphism by harmonic gradients
- Gauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space
- Hopf Differentials and Smoothing Sobolev Homeomorphisms
- Differential equations on riemannian manifolds and their geometric applications
- Some properties and applications of harmonic mappings
- Extremal mappings of finite distortion
- Univalent \(\sigma\)-harmonic mappings
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