| Type de publication : |
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Preprint, Working Paper, Document sans référence, etc. |
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| Domaine : |
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Mathématiques/Topologie géométrique
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| Titre : |
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On length spectrum metrics and weak metrics on Teichmüller spaces of surfaces with boundary |
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| Auteur(s) : |
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Lixin Liu ( ) 1, Athanase Papadopoulos () 2, 3, Weixu Su () 1, Guillaume Théret () 3 |
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| Laboratoire : |
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| Résumé : |
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We define and study metrics and weak metrics on the Teichmüller space of a surface of topologically finite type with boundary. These metrics and weak metrics are associated to the hyperbolic length spectrum of simple closed curves and of properly embedded arcs in the surface. We give a comparison between the defined metrics on regions of Teichmüller space which we call $\varepsilon_0$-relative $\epsilon$-thick parts} for $\epsilon >0$ and $\varepsilon_0\geq \epsilon>0$. |
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Langue du texte
intégral : |
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Anglais |
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| Mots Clés : |
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Teichmüller space – length spectrum metric – length spectrum weak metric – Thurston's asymmetric metric – Teichmüller. |
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| Classification : |
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32G15 ; 30F30 ; 30F60. |
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