Uniformly bounded maximal $\varphi$-disks, Bers space and harmonic maps
From MaRDI portal
Publication:4501083
DOI10.1090/S0002-9939-00-05325-9zbMath0957.30032MaRDI QIDQ4501083
Ivan Anić, Vladimir Marković, Miodrag S. Mateljević
Publication date: 3 September 2000
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
injectivity radiusharmonic mapsBloch's constantHopf differentials\(k\)-quasiregular mapsbounded cusp forms
Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Harmonic maps, etc. (58E20) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)
Related Items
Convergence of harmonic maps on the Poincaré disk, Distortion of quasiregular mappings and equivalent norms on Lipschitz-type spaces, A new version of the main inequality and the uniqueness of harmonic maps, Inner estimate and quasiconformal harmonic maps between smooth domains, Quasi-isometricity and equivalent moduli of continuity of planar 1/|ω|2-harmonic mappings, Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Gerstenhaber-Rauch principle
- The Teichmüller theory of harmonic maps
- High energy degeneration of harmonic maps between surfaces and rays in Teichmüller space
- Harmonic maps, length, and energy in Teichmüller space
- Constant mean curvature surface, harmonic maps, and universal Teichmüller space
- On univalent harmonic maps between surfaces
- Harmonic diffeomorphisms into Cartan-Hadamard surfaces with prescribed Hopf differentials
- Harmonic maps from the complex plane into surfaces with nonpositive curvature
- Quasi-conformal harmonic diffeomorphism and the universal Teichmüller space
- A fibre bundle description of Teichmüller theory
- A Geometric Characterization of Analytic Functions with Bounded Mean Oscillation
- Harmonic Diffeomorphisms Between Hadamard Manifolds
- On Bloch Functions
