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 ![]() | |
Schlenker, Jean-Marc ![]() | |
2009 | |
Geometric and 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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