Quasiconformal homogeneity of hyperbolic surfaces with fixed-point full automorphisms

DOI10.1017/S0305004107000138zbMath1133.30012MaRDI QIDQ3594410

Petra Bonfert-Taylor, Richard D. Canary, Edward C. Taylor, Martin J. Bridgeman

Publication date: 8 August 2007

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

moduli spaceKleinian group\(K\)-quasiconformally homogeneous manifoldquasiconformal homogeneity constantuniformly quasiconformally homogeneous manifold

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (7)

Distortion of quasiconformal mappings with identity boundary values ⋮ Geometric realizations of cyclic actions on surfaces. II ⋮ Quasiconformally homogeneous planar domains ⋮ Quasiconformal homogeneity after Gehring and Palka ⋮ Quasiconformal homogeneity of genus zero surfaces ⋮ A lower bound for Torelli-\(K\)-quasiconformal homogeneity ⋮ Quasiconformal homogeneity and subgroups of the mapping class group

Cites Work

• On Marden's universal constant of Fuchsian groups
• Quasiconformally homogeneous compacta in the complex plane
• Quasiconformal homogeneity of hyperbolic manifolds
• Quasiconformally Bi-Homogeneous Compacta in the Complex Plane
• Algebraic and geometric convergence of Kleinian groups.

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