Hyperbolic sub-dynamics: compact invariant 3-manifolds
| dc.creator | Hertz, Jana Rodriguez | |
| dc.date | 2005-07-14 | |
| dc.date | 2005-07-18 | |
| dc.date.accessioned | 2026-07-07T05:21:40Z | |
| dc.date.available | 2026-07-07T05:21:40Z | |
| dc.description | In 1970, Hirsch asked what kind of compact invariant sets could be part of a hyperbolic set. Here we obtain that, in case such an invariant set is a 3D manifold, it is a connected sum of tori with handles quotiented by involutions. Moreover, if the manifold is orientable, the involutions are all trivial. In 1975, Ma{ñ}{é} characterized hyperbolic dynamics restricted to manifolds and called them quasi Anosov. We also classify here quasi-Anosov dynamics in 3D-manifolds. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507279 | |
| dc.identifier | http://arxiv.org/abs/math/0507279 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75776 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D05; 37D20 | |
| dc.title | Hyperbolic sub-dynamics: compact invariant 3-manifolds | |
| dc.type | text |