Reference : AdS manifolds with particles and earthquakes on singular surfaces
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/2819
AdS manifolds with particles and earthquakes on singular surfaces
English
Bonsante, Francesco mailto [Univ. Pavia > Mathematics]
Schlenker, Jean-Marc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2009
Geometric & Functional Analysis
Springer Science & Business Media B.V.
19
1
41--82
Yes
International
1016-443X
[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).
Researchers
http://hdl.handle.net/10993/2819

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