Comparisons of metrics on Teichmüller space

DOI10.1007/s11401-008-0385-2zbMath1190.30031OpenAlexW2026346346MaRDI QIDQ2267346

Lixin Liu, Zong Liang Sun

Publication date: 1 March 2010

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-008-0385-2

zbMATH Keywords

Teichmüller metriclength spectrum metricThurston's pseudo-metrics

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

• Quadratic differentials and foliations
• The asymptotic geometry of Teichmüller space
• The length spectra as moduli for compact Riemann surfaces
• The real analytic theory of Teichmüller space
• On Thurston's boundary of Teichmüller space and the extension of earthquakes
• Harmonic maps, length, and energy in Teichmüller space
• On realizing measured foliations via quadratic differentials of harmonic maps to \(\mathbf R\)-trees
• Inequalities for finitely generated Kleinian groups
• Extremal length geometry of teichmüller space
• Comparison of hyperbolic and extremal lengths
• On Teichmüller spaces of tori
• LENGTH SPECTRUMS OF RIEMANN SURFACES AND THE TEICHMÜLLER METRIC
• On the topology defined by Thurston's asymmetric metric
• On the length spectrum metric in infinite dimensional Teichmüller spaces
• Comparison between Teichmüller and Lipschitz metrics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Comparisons of metrics on Teichmüller space