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| HAL : hal-00695587, version 1 |
| arXiv : 1011.6078 |
| DOI : 10.1007/s.10711-011-9664-2 |
| Fiche détaillée |  Récupérer au format |
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| Geometriae Dedicata (2011) nc |
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| Bounded combinatorics and the Lipschitz metric on Teichmüller space |
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| Anna Lenzhen 1Kasra Rafi 2 |
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| (2011) |
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| Considering the Teichmüller space of a surface equipped with Thurston's Lipschitz metric, we study geodesic segments whose endpoints have bounded combinatorics. We show that these geodesics are cobounded, and that the closest-point projection to these geodesics is strongly contracting. Consequently, these geodesics are stable. Our main tool is to show that one can get a good estimate for the Lipschitz distance by considering the length ratio of finitely many curves. |
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| 1 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2 : | Department of Mathematics |
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University of Oklahoma |
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| Théorie ergodique |
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| Domaine | : | Mathématiques/Topologie géométrique |
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| geometric topology |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/1011.6078 |
| hal-00695587, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00695587 | |
| oai:hal.archives-ouvertes.fr:hal-00695587 | |
| Contributeur : Marie-Annick Guillemer | |
| Soumis le : Mercredi 9 Mai 2012, 11:49:55 | |
| Dernière modification le : Mercredi 9 Mai 2012, 12:09:24 | |
