Thurston’s weak metric on the Teichmüller space of the torus
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- by Abdelhadi Belkhirat, Athanase Papadopoulos and Marc Troyanov PDF
- Trans. Amer. Math. Soc. 357 (2005), 3311-3324 Request permission
Abstract:
We define and study a natural weak metric on the Teichmüller space of the torus. A similar metric has been defined by W. Thurston on the Teichmüller space of higher genus surfaces and our definition is motivated by Thurston’s definition. However, we shall see that in the case of the torus, this metric has a different behaviour than on higher genus surfaces.References
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Additional Information
- Abdelhadi Belkhirat
- Affiliation: Département de Recherche Mathématique Avancée, Université Louis Pasteur and CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France
- Address at time of publication: King Fahd University of Petroleum and Minerals, Hail Community College, P.O. Box 2440, Hail, Saudi Arabia
- Email: belkhirat@math.u-strasbg.fr, belkhirat@hcc.kfupm.edu.sa
- Athanase Papadopoulos
- Affiliation: Département de Recherche Mathématique Avancée, Université Louis Pasteur and CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France
- MR Author ID: 135835
- Email: papadopoulos@math.u-strasbg.fr
- Marc Troyanov
- Affiliation: Section de Mathématiques, École Polytechnique Féderale de Lausanne, 1015 Lausanne, Switzerland
- MR Author ID: 234039
- Email: marc.troyanov@epfl.ch
- Received by editor(s): February 3, 2004
- Published electronically: February 4, 2005
- © Copyright 2005 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 357 (2005), 3311-3324
- MSC (2000): Primary 30F60, 32G15
- DOI: https://doi.org/10.1090/S0002-9947-05-03735-9
- MathSciNet review: 2135749