Quasiconformal mappings of \(Y\)-pieces.

DOI10.4171/RMI/330zbMath1064.30045OpenAlexW1992351120MaRDI QIDQ1394487

Christopher J. Bishop

Publication date: 25 September 2003

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39697

zbMATH Keywords

Hausdorff dimensionquasi-Fuchsian groupsconvex corequasiconformal deformation, critical exponentY-pieces

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Teichmüller theory for Riemann surfaces (30F60)

Related Items (14)

Train tracks and measured laminations on infinite surfaces ⋮ Non-stationary and discontinuous quasiconformal mapping class groups ⋮ On the length spectrum Teichmüller spaces of Riemann surfaces of infinite type ⋮ The moduli space of Riemann surfaces of large genus ⋮ On the inclusion of the quasiconformal Teichmüller space into the length-spectrum Teichmüller space ⋮ The action of geometric automorphisms of asymptotic Teichmüller spaces ⋮ Non-rectifiable limit sets of dimension one. ⋮ On the completeness of the asymptotic length spectrum Teichmüller space of surfaces of infinite type ⋮ Fenchel–Nielsen coordinates on upper bounded pants decompositions ⋮ On local comparison between various metrics on Teichmüller spaces ⋮ Quasiconformal embeddings of Y-pieces ⋮ Thurston's metric on Teichmüller space and the translation distances of mapping classes ⋮ Earthquakes in the length-spectrum Teichmüller spaces ⋮ Fenchel-Nielsen coordinates for asymptotically conformal deformations

Cites Work

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• Non-rectifiable limit sets of dimension one.
• Big deformations near infinity
• Divergence groups have the Bowen property

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