| 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  [Univ. Pavia > Mathematics] | |
| Schlenker, Jean-Marc [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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