Quasi-Fuchsian AdS representations are Anosov
| dc.creator | Barbot, Thierry | |
| dc.date | 2007-10-04 | |
| dc.date.accessioned | 2026-07-07T08:34:07Z | |
| dc.date.available | 2026-07-07T08:34:07Z | |
| dc.description | In a recent paper, Q. Mérigot proved that representations in SO(2,n) of uniform lattices of SO(1,n) which are Anosov in the sense of Labourie are quasi-Fuchsian, i.e. are faithfull, discrete, and preserve an acausal subset in the boundary of anti-de Sitter space. In the present paper, we prove the reverse implication. It also includes: -- A construction of Dirichlet domains in the context of anti-de Sitter geometry, -- A proof that spatially compact globally hyperbolic anti-de Sitter spacetimes with acausal limit set admit locally CAT(-1) Cauchy hypersurfaces. | |
| dc.identifier | https://arxiv.org/abs/0710.0969 | |
| dc.identifier | http://arxiv.org/abs/0710.0969 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139324 | |
| dc.subject | Differential Geometry | |
| dc.title | Quasi-Fuchsian AdS representations are Anosov | |
| dc.type | text |