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EnglishWe prove two related results. The first is an ``Earthquake Theorem'' for closed hyperbolic surfaces with cone singularities where the total angle is less than $\pi$: 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 Teichm\"uller space with some marked points (corresponding to the cone singularities). The two statements are proved together
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| Titolo: | AdS manifolds with particles and earthquakes on singular surfaces | |
| Autori: | ||
| Data di pubblicazione: | 2009 | |
| Rivista: | ||
| Abstract: | 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 $\pi$: 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 Teichm\"uller space with some marked points (corresponding to the cone singularities). The two statements are proved together | |
| Handle: | http://hdl.handle.net/11571/136790 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11571/136790
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