[en] We prove an ``Earthquake theorem'' for closed hyperbolic surfaces with cone
singularities where the total angle is less than $\pi$: the action of the
space of measured laminations on Teichm\"uller space by left earthquakes is
simply transitive. This is strongly related to another result: the space of
``globally hyperbolic'' AdS manifolds with cone singularities along time-like
geodesics is parametrized by the product two copies of Teichm\"uller space with
some marked points (corresponding to the cone singularities).
Disciplines :
Mathématiques
Auteur, co-auteur :
Bonsante, Francesco; Univ. Pavia > Mathematics
SCHLENKER, Jean-Marc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Langue du document :
Anglais
Titre :
AdS manifolds with particles and earthquakes on singular surfaces
