Some remarks on the geodesics in infinite dimensional Teichmüller spaces

DOI10.1007/BF02559941zbMath0907.30045OpenAlexW371380002MaRDI QIDQ4392007

Yuliang Shen

Publication date: 24 February 1999

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

Full work available at URL: https://doi.org/10.1007/bf02559941

zbMATH Keywords

geodesicsFuchsian groupquasiconformal mappingsTeichmüller spaces

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (5)

On geodesic segments in the infinitesimal asymptotic Teichmüller spaces ⋮ On geodesics in asymptotic Teichmüller spaces ⋮ On Geodesics in Asymptotic Universal Teichmüller Space ⋮ On the geometry of infinite dimensional Teichmüller spaces ⋮ On nonuniqueness of geodesics and geodesic disks in the universal asymptotic Teichmüller space

Cites Work

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• Amenability, Poincaré series and quasiconformal maps
• On quasiconformal mappings of open Riemann surfaces
• Isometrically embedded polydisks in infinite dimensional Teichmüller spaces
• Über extremale quasikonforme Abbildungen
• Nonuniqueness of geodesics in infinite dimensional teichmuller spaces
• Holomorphic families of geodesic discs in infinite dimensional Teichmüller spaces
• Holomorphic Motions and Teichmuller Spaces
• Report on the Teichmüller Metric
• Extremal Quasiconformal Mappings with Prescribed Boundary Values

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