Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson
ISSN: 0214-1493
Year of publication: 1989
Issue Title: Mois de Jun Feuilleté/Semester on Differential Geometry
Volume: 33
Issue: 3
Pages: 395-410
Type: Article
More publications in: Publicacions matematiques
Abstract
The purpose of this paper is to prove the existence of a symplectic realization for a large class of regular Poisson manifolds with Riemannian two dimensional characteristic foliation. To do so, we will show that the homotopy groupoid of a Riemannian foliation is locally trivial.