Geometrie de contact: de la dimension trois vers les dimensions superieures
Résumé
On decrit ici des relations entre la geometrie globale des varietes de contact closes et celle de certaines varietes symplectiques, a savoir les varietes de Stein compactes. Lórigine de ces relations est léxistence de livres ouverts adaptes aux structures de contact. We discuss relations between the global geometry of closed contact manifolds and the geometry of compact symplectic Stein manifolds that they bound. The origin of these relations is the existence of open book decompositions adapted to contact structures.