Some Lipschitz maps between hyperbolic surfaces with applications to Teichmüller theory

DOI10.1007/s10711-012-9694-4zbMath1279.32012arXiv1001.2088OpenAlexW2020192872MaRDI QIDQ691098

Guillaume Théret, Athanase Papadopoulos

Publication date: 29 November 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2088

zbMATH Keywords

Teichmüller spacehyperbolic surfaceThurston's asymmetric metricstretch line

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)

Related Items (4)

The horofunction compactification of Teichmüller spaces of surfaces with boundary ⋮ Local rigidity of the Teichmüller space with the Thurston metric ⋮ Deforming hyperbolic hexagons with applications to the arc and the Thurston metrics on Teichmüller spaces ⋮ Bijections of geodesic lamination space preserving left Hausdorff convergence

Cites Work

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• Shift coordinates, stretch lines and polyhedral structures for Teichmüller space
• Shortening all the simple closed geodesics on surfaces with boundary
• On length spectrum metrics and weak metrics on Teichmüller spaces of surfaces with boundary
• Comparison between Teichmüller and Lipschitz metrics

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