Article (Scientific journals)
AdS manifolds with particles and earthquakes on singular surfaces
Bonsante, Francesco; SCHLENKER, Jean-Marc
2009In Geometric and Functional Analysis, 19 (1), p. 41--82
Peer reviewed
 

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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).
Disciplines :
Mathematics
Author, co-author :
Bonsante, Francesco;  Univ. Pavia > Mathematics
SCHLENKER, Jean-Marc ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
AdS manifolds with particles and earthquakes on singular surfaces
Publication date :
2009
Journal title :
Geometric and Functional Analysis
ISSN :
1016-443X
Publisher :
Springer Science & Business Media B.V.
Volume :
19
Issue :
1
Pages :
41--82
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 24 June 2013

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