Classes d'homotopie de champs de vecteurs Morse-Smale sans singularité sur les fibrés de Seifert
| dc.creator | Dufraine, Emmanuel | |
| dc.date | 2003-12-05 | |
| dc.date.accessioned | 2026-07-07T05:03:36Z | |
| dc.date.available | 2026-07-07T05:03:36Z | |
| dc.description | In the first part of this paper, we consider smooth maps from a compact orientable 3-manifold without boundary to the 2-sphere. We give a geometric criterion to decide whether two given maps are homotopic, based on the sets of points where the maps are equal or antipodal. We extend this criterion to non-singular vector fields (and co-oriented plane fields) on 3-manifolds. In the second part, we make use of this criterion to study non-singular Morse-Smale vector fields on Seifert manifolds, giving a simple proof of a result of Yano. | |
| dc.description | Paper in French with a one page english summary. 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312127 | |
| dc.identifier | http://arxiv.org/abs/math/0312127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69486 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Geometric Topology | |
| dc.subject | 14F35; 37D15 | |
| dc.title | Classes d'homotopie de champs de vecteurs Morse-Smale sans singularité sur les fibrés de Seifert | |
| dc.type | text |