Déformation localisée de surfaces de Riemann
- Autores: Peter Haïssinsky
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 49, Nº 1, 2005, págs. 249-255
- Idioma: francés
- Enlaces
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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.
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