The Finsler geometry of the Teichmüller metric

DOI10.1007/s40879-017-0161-5zbMath1387.32017OpenAlexW2735314200MaRDI QIDQ1695707

Youliang Zhong, WeiXu Su

Publication date: 8 February 2018

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-017-0161-5

zbMATH Keywords

quadratic differentialextremal lengthTeichmüller metric

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)

Cites Work

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• Lattice point asymptotics and volume growth on Teichmüller space
• Isometric disks are holomorphic
• Counting closed geodesics in moduli space
• Quadratic differentials and foliations
• Skinning maps are finite-to-one
• The Teichmüller geodesic flow
• The asymptotic geometry of Teichmüller space
• Interval exchange transformations and measured foliations
• On a class of geodesics in Teichmüller space
• Schiffer's interior variation and quasiconformal mapping
• On the Finsler structure of Teichmüller's metric and Thurston's metric
• Distance and angles between Teichmüller geodesics
• Confromal invariants and function-theoretic null-sets

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