A characterization of biholomorphic automorphisms of Teichmüller space

DOI10.1017/S0305004112000400zbMath1262.30047MaRDI QIDQ4902499

Hideki Miyachi, Ryosuke Mineyama

Publication date: 15 January 2013

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

orientation-preserving homeomorphismbiholomorphic automorphismTeichmuller space

Mathematics Subject Classification ID

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

Related Items (2)

Local rigidity of the Teichmüller space with the Thurston metric ⋮ Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis

Cites Work

• Unnamed Item
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• On a class of geodesics in Teichmüller space
• The classification of punctured-torus groups
• 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 complex of curves
• The geometry of finitely generated Kleinian groups
• The Weil-Petersson isometry group
• Extremal length geometry of teichmüller space
• Geometric Isomorphisms between Infinite Dimensional Teichmüller Spaces

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