Some metrics on Teichmüller spaces of surfaces of infinite type

DOI10.1090/S0002-9947-2011-05090-7zbMath1260.32003arXiv0808.0870OpenAlexW1968876706WikidataQ125800613 ScholiaQ125800613MaRDI QIDQ3020333

Athanase Papadopoulos, Lixin Liu

Publication date: 4 August 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0870

zbMATH Keywords

Teichmüller spaceTeichmüller metriclength spectrum metricquasiconformal metricbi-Lipschitz metricinfinite- type surface

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 (10)

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 ⋮ Intersection number and some metrics on Teichmüller space ⋮ On local comparison between various metrics on Teichmüller spaces ⋮ Flip graphs for infinite type surfaces ⋮ The arc metric on Teichmüller spaces of surfaces of infinite type with boundary ⋮ Almost isometries between Teichmüller spaces ⋮ Big Mapping Class Groups: An Overview ⋮ On various Teichmüller spaces of a surface of infinite topological type ⋮ Properties of metrics on Teichmüller spaces of surfaces of infinite type

Cites Work

• The real analytic theory of Teichmüller space
• Biholomorphic maps between Teichmüller spaces
• On the action of the mapping class group for Riemann surfaces of infinite type
• Conformally natural extension of homeomorphisms of the circle
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• Inclusion relations between the Bers embeddings of Teichmüller spaces
• Hyperbolic Structures for Surfaces of Infinite Type
• An isometry theorem for quadratic differentials on Riemann surfaces of finite genus
• Limit sets and regions of discontinuity of Teichmüller modular groups
• LOCAL RIGIDITY OF INFINITE-DIMENSIONAL TEICHMÜLLER SPACES
• On the Classification of Noncompact Surfaces
• Geometry and spectra of compact Riemann surfaces
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