Geometric Isomorphisms between Infinite Dimensional Teichmüller Spaces

DOI10.1090/S0002-9947-96-01490-0zbMath0873.32020OpenAlexW1604828262MaRDI QIDQ4889956

Frederick P. Gardiner, Clifford J. Earle

Publication date: 15 October 1996

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01490-0

zbMATH Keywords

Teichmüller spaceTeichmüller disksisometriesholomorphic automorphisms

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items

Inclusion relations between the Bers embeddings of Teichmüller spaces ⋮ Fiber spaces over Teichmüller spaces for Fuchsian groups with elliptic elements ⋮ Isomorphisms of fiber spaces over Teichmüller spaces ⋮ Pluripotential theory on Teichmüller space. II: Poisson integral formula ⋮ Teichmüller spaces for pointed Fuchsian groups ⋮ Local rigidity of the Teichmüller space with the Thurston metric ⋮ The inner and outer radii of asymptotic Teichmüller spaces ⋮ Unification of extremal length geometry on Teichmüller space via intersection number ⋮ A characterization of biholomorphic automorphisms of Teichmüller space ⋮ Pure mapping class group acting on Teichmüller space ⋮ On quasiconformal deformations of the universal hyperbolic solenoid ⋮ Dynamics on Teichmüller spaces and self-covering of Riemann surfaces ⋮ Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces ⋮ Coherence of limit points in the fibers over the asymptotic Teichmüller space ⋮ On holomorphic sections in Teichmüller spaces ⋮ Unique extremality ⋮ Biholomorphic isomorphisms between Teichmüller curves ⋮ The Nielsen realization problem for asymptotic Teichmüller modular groups ⋮ Isometrically embedded polydisks in infinite dimensional Teichmüller spaces ⋮ A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space

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