Déformation localisée de surfaces de Riemann.

Peter Haïssinsky

Publicacions Matemàtiques (2005)

  • Volume: 49, Issue: 1, page 249-255
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Haïssinsky, Peter. "Déformation localisée de surfaces de Riemann.." Publicacions Matemàtiques 49.1 (2005): 249-255. <http://eudml.org/doc/41563>.

@article{Haïssinsky2005,
author = {Haïssinsky, Peter},
journal = {Publicacions Matemàtiques},
keywords = {Superficies Riemann; Deformación; Geometría hiperbólica; Teichmüller theory; hyperbolic geometry; Riemann surface; simple closed curves},
language = {fre},
number = {1},
pages = {249-255},
title = {Déformation localisée de surfaces de Riemann.},
url = {http://eudml.org/doc/41563},
volume = {49},
year = {2005},
}

TY - JOUR
AU - Haïssinsky, Peter
TI - Déformation localisée de surfaces de Riemann.
JO - Publicacions Matemàtiques
PY - 2005
VL - 49
IS - 1
SP - 249
EP - 255
LA - fre
KW - Superficies Riemann; Deformación; Geometría hiperbólica; Teichmüller theory; hyperbolic geometry; Riemann surface; simple closed curves
UR - http://eudml.org/doc/41563
ER -

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