A quasiconformal group not isomorphic to a Möbius group

DOI10.5186/aasfm.1981.0625zbMath0443.30026OpenAlexW1987388430MaRDI QIDQ3885999

Pekka Tukia

Publication date: 1981

Published in: Annales Academiae Scientiarum Fennicae Series A I Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.1981.0625

zbMATH Keywords

group of Möbius transformationsK-quasiconformalquasisymmetric manifolds

Mathematics Subject Classification ID

Topological transformation groups (57S99) Quasiconformal mappings in the complex plane (30C62)

Related Items (21)

On quasiconformal groups ⋮ Elliptic equations and maps of bounded length distortion ⋮ The Gehring–Hayman inequality for quasihyperbolic geodesics ⋮ Hyperbolic convexes and quasiisometries. ⋮ Integration of Hölder forms and currents in snowflake spaces ⋮ Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals ⋮ Bilipschitz homogeneity and inner diameter distance ⋮ Dynamics of quasiconformal fields ⋮ Wandering domains for diffeomorphisms of the k-torus: a remark on a theorem by Norton and Sullivan ⋮ Uniform domains close to a ball ⋮ Recognizing constant curvature discrete groups in dimension 3 ⋮ Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings ⋮ Fred Gehring's mathematics ⋮ Metric and geometric quasiconformality in Ahlfors regular Loewner spaces ⋮ Homology of Normal Chains and Cohomology of Charges ⋮ Whitney’s example by way of Assouad’s embedding ⋮ The Degree of Regularity of a Quasiconformal Mapping ⋮ Denjoy-Sacksteder theory for groups of diffeomorphisms ⋮ Quasisymmetric groups ⋮ Bilipschitz homogeneous Jordan curves ⋮ Quasiconformal groups, Patterson-Sullivan theory, and local analysis of limit sets

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