Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group

DOI10.1007/BF02392471zbMath0562.30018MaRDI QIDQ2266781

Pekka Tukia

Publication date: 1985

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Fuchsian groupnormal familyquasiconformal extensionBers embedding of a Teichmüller spaceG-compatible homeomorphismspace of holomorphic quadratic differentialsTeichmüller's extremal mapping

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Quasiconformal mappings in the complex plane (30C62) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (23)

On quasiconformal groups ⋮ Some remarks on Teichmüller spaces and modular groups ⋮ Quasisymmetric maps and string theory ⋮ BMO-Teichmüller spaces revisited ⋮ A joinings classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman) ⋮ Bers embedding of the Teichmüller space of a once-punctured torus ⋮ The limit map of a homomorphism of discrete Möbius groups ⋮ Conformally natural extensions of continuous circle maps. II: The general case ⋮ Hyperbolic convexes and quasiisometries. ⋮ Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings ⋮ A family of conformally natural extensions of homeomorphisms of the circle ⋮ Quasi-isometries between groups with two-ended splittings ⋮ Geometry and rigidity of mapping class groups. ⋮ Quasi-isometry and Rigidity ⋮ The Douady-Earle extensions are not always harmonic ⋮ On Margulis cusps of hyperbolic \(4\)-manifolds ⋮ Hyperbolizing hyperspaces ⋮ On holomorphic sections in Teichmüller spaces ⋮ Some estimates for normalized quasiconformal self-mappings of the unit disk ⋮ Conformally natural extension of homeomorphisms of the circle ⋮ Universal Teichmüller space in geometry and physics ⋮ Finite dimensional Teichmüller spaces and generalizations ⋮ On isomorphisms of geometrically finite Möbius groups

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