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| Página principal > Artículos > Artículos publicados > Déformation localisée de surfaces de Riemann |
| Fecha: | 2005 |
| Resumen: | Let Y be a Riemann surface with compact boundary embedded into a hyperbolic Riemann surface of finite type X. It is proved that the space of deformations D of Y into X is an open subset of the Teichmüller space T (X) of X. Furthermore, D has compact closure if and only if Y is simply connected or isomorphic to a punctured disk, and D = T (X) if and only if the components of X \ Y are all disks or punctured disks. |
| Derechos: | Tots els drets reservats.  |
| Lengua: | Francès |
| Documento: | Article ; recerca ; Versió publicada |
| Materia: | Teichmüller theory ; Hyperbolic geometry ; Simple closed curves |
| Publicado en: | Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 249-255, ISSN 2014-4350 |
