AdS manifolds with particles and earthquakes on singular surfaces

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 and 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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