On local comparison between various metrics on Teichmüller spaces

DOI10.1007/s10711-011-9601-4zbMath1262.32017arXiv1012.2482OpenAlexW1987065976MaRDI QIDQ2429483

Lixin Liu, Daniele Alessandrini, Athanase Papadopoulos, WeiXu Su

Publication date: 27 April 2012

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

Full work available at URL: https://arxiv.org/abs/1012.2482

zbMATH Keywords

Teichmüller spaceFenchel-Nielsen coordinateslength spectrum metricquasiconformal metric

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

On the length spectrum Teichmüller spaces of Riemann surfaces of infinite type, On the inclusion of the quasiconformal Teichmüller space into the length-spectrum Teichmüller space, The Teichmüller space of the Hirsch foliation, Length spectrum characterization of asymptotic Teichmüller space, Quasiconformal embeddings of Y-pieces

Cites Work

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• On the symplectic geometry of deformations of a hyperbolic surface
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• On Fenchel-Nielsen coordinates on Teichmüller spaces of surfaces of infinite type
• On various Teichmüller spaces of a surface of infinite topological type
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• Comparison between Teichmüller and Lipschitz metrics
• LOCAL RIGIDITY OF INFINITE-DIMENSIONAL TEICHMÜLLER SPACES
• The Nielsen realization problem
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