On two-dimensional quasiconformal groups

DOI10.5186/aasfm.1980.0530zbMath0411.30038OpenAlexW1967308662MaRDI QIDQ4199020

Pekka Tukia

Publication date: 1980

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.1980.0530

zbMATH Keywords

discrete groupsquasiconformal groups

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Quasiconformal mappings in the complex plane (30C62) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (18)

On quasiconformal groups ⋮ Compact isometry groups that are conjugate with a subgroup of the orthogonal group ⋮ Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk ⋮ Quasiconformal groups with small dilatation I ⋮ Lipschitz conditions in conformally invariant metrics ⋮ Lattès-type mappings on compact manifolds ⋮ Dynamics on Teichmüller spaces and self-covering of Riemann surfaces ⋮ Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings ⋮ Uniformly quasiregular maps on the compactified Heisenberg group ⋮ Fred Gehring's mathematics ⋮ Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group ⋮ Denjoy-Sacksteder theory for groups of diffeomorphisms ⋮ Quasisymmetric groups ⋮ Attractor sets and Julia sets in low dimensions ⋮ On the Blaschke circle diffeomorphisms ⋮ Quasiconformal groups and a theorem of Bishop and Jones ⋮ Differentiability and rigidity of Möbius groups ⋮ Maps on the Morse boundary

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