| Date: |
2005 |
| Abstract: |
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. |
| Rights: |
Tots els drets reservats.  |
| Language: |
Francès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Teichmüller theory ;
Hyperbolic geometry ;
Simple closed curves |
| Published in: |
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 249-255, ISSN 2014-4350 |
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