Harmonic diffeomorphisms and Teichmüller theory
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Publication:810673
DOI10.1007/BF02568411zbMath0734.30038OpenAlexW2038162765MaRDI QIDQ810673
Publication date: 1991
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155620
Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Teichmüller theory for Riemann surfaces (30F60)
Related Items (9)
Rotationally symmetric harmonic diffeomorphisms between surfaces ⋮ Almost strict domination and anti‐de Sitter 3‐manifolds ⋮ The Harmonic Map Compactification of Teichmüller Spaces for Punctured Riemann Surfaces ⋮ Infinite energy equivariant harmonic maps, domination, and anti-de Sitter \(3\)-manifolds ⋮ Harmonic diffeomorphisms between the annuli with rotational symmetry ⋮ Harmonic maps and wild Teichmüller spaces ⋮ Semigroup action on \(\mathbb T^n\) ⋮ Asymptotic flatness of the Weil-Petersson metric on Teichmüller space ⋮ Holomorphic quadratic differentials in Teichmüller theory
Cites Work
- The Teichmüller theory of harmonic maps
- Compact group actions and the topology of manifolds with non-positive curvature
- The real analytic theory of Teichmüller space
- Degenerating families of Riemann surfaces
- Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
- On univalent harmonic maps between surfaces
- Über das Nichtverschwinden der Funktionaldeterminante bei einer Klasse eineindeutiger Abbildungen
- A General Schwarz Lemma for Kahler Manifolds
- Surfaces of nonpositive curvature
- Some properties and applications of harmonic mappings
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