AdS manifolds with particles and earthquakes on singular surfaces
| dc.creator | Bonsante, Francesco | |
| dc.creator | Schlenker, Jean-Marc | |
| dc.date | 2006-09-04 | |
| dc.date | 2007-06-18 | |
| dc.date.accessioned | 2026-07-07T08:10:32Z | |
| dc.date.available | 2026-07-07T08:10:32Z | |
| dc.description | We prove two related results. The first is an ``Earthquake Theorem'' for closed hyperbolic surfaces with cone singularities where the total angle is less than $π$: any two such metrics in are connected by a unique left earthquake. The second result is that the space of ``globally hyperbolic'' AdS manifolds with ``particles'' -- cone singularities (of given angle) along time-like lines -- is parametrized by the product of two copies of the Teichmüller space with some marked points (corresponding to the cone singularities). The two statements are proved together. | |
| dc.description | 18 pages, several figures. v2: improved exposition, several corrections | |
| dc.identifier | https://arxiv.org/abs/math/0609116 | |
| dc.identifier | http://arxiv.org/abs/math/0609116 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131851 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.title | AdS manifolds with particles and earthquakes on singular surfaces | |
| dc.type | text |