Local rigidity of the Teichmüller space with the Thurston metric

DOI10.1007/s11425-021-2020-0zbMath1521.30054arXiv2005.11762OpenAlexW3027325920MaRDI QIDQ6171729

Huiping Pan

Publication date: 14 August 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11762

zbMATH Keywords

Teichmüller spaceThurston metricRoyden's theorem

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounded combinatorics and the Lipschitz metric on Teichmüller space
• Deforming hyperbolic hexagons with applications to the arc and the Thurston metrics on Teichmüller spaces
• The intrinsic asymmetry and inhomogeneity of Teichmüller space
• Some Lipschitz maps between hyperbolic surfaces with applications to Teichmüller theory
• A note on the connectivity of certain complexes associated to surfaces
• On isometries between Teichmüller spaces
• Automorphisms of complexes of curves on punctured spheres and on punctured tori
• Biholomorphic maps between Teichmüller spaces
• Isometries between the spaces of \(L^1\) holomorphic quadratic differentials on Riemann surfaces of finite type
• Automorphisms of the pants complex
• The Weil-Petersson isometry group
• Optimal Lipschitz maps on one-holed tori and the Thurston metric theory of Teichmüller space
• On the Finsler structure of Teichmüller's metric and Thurston's metric
• Thurston's Work on Surfaces (MN-48)
• The Myers-Steenrod theorem for Finsler manifolds of low regularity
• COARSE AND FINE GEOMETRY OF THE THURSTON METRIC
• Weil–Petersson isometries via the pants complex
• The shadow of a Thurston geodesic to the curve graph
• Braids, Links, and Mapping Class Groups. (AM-82)
• An isometry theorem for quadratic differentials on Riemann surfaces of finite genus
• The Teichmuller Spaces are Distinct
• Geometric Isomorphisms between Infinite Dimensional Teichmüller Spaces
• A characterization of biholomorphic automorphisms of Teichmüller space
• Generalizing Stretch Lines for Surfaces with Boundary
• The horoboundary and isometry group of Thurston's Lipschitz metric
• Thurston's metric on Teichm\"uller space and isomorphisms between Fuchsian groups
• On the topology defined by Thurston's asymmetric metric
• On the classification of mapping class actions on Thurston's asymmetric metric
• Comparison between Teichmüller and Lipschitz metrics
• Thurston's metric on Teichmüller space and the translation distances of mapping classes
• Problems on the Thurston metric

This page was built for publication: Local rigidity of the Teichmüller space with the Thurston metric