Reference : AdS manifolds with particles and earthquakes on singular surfaces
 Document type : Scientific journals : Article Discipline(s) : Physical, chemical, mathematical & earth Sciences : Mathematics To cite this reference: http://hdl.handle.net/10993/2819
 Title : AdS manifolds with particles and earthquakes on singular surfaces Language : English Author, co-author : Bonsante, Francesco [Univ. Pavia > Mathematics] Schlenker, Jean-Marc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Publication date : 2009 Journal title : Geometric & Functional Analysis Publisher : Springer Science & Business Media B.V. Volume : 19 Issue/season : 1 Pages : 41--82 Peer reviewed : Yes Audience : International ISSN : 1016-443X Abstract : [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). Target : Researchers Permalink : http://hdl.handle.net/10993/2819

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