Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson.

Fernando Alcalde Cuesta

Publicacions Matemàtiques (1989)

  • Volume: 33, Issue: 3, page 395-410
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Alcalde Cuesta, Fernando. "Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson.." Publicacions Matemàtiques 33.3 (1989): 395-410. <http://eudml.org/doc/41078>.

@article{AlcaldeCuesta1989,
author = {Alcalde Cuesta, Fernando},
journal = {Publicacions Matemàtiques},
keywords = {Grupos de homotopía; Variedades de Poisson; Foliación riemanniana; Variedad simpléctica; Poisson manifold; symplectic Lie groupoid; homotopy groupoid; Riemannian foliation},
language = {fre},
number = {3},
pages = {395-410},
title = {Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson.},
url = {http://eudml.org/doc/41078},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Alcalde Cuesta, Fernando
TI - Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson.
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 3
SP - 395
EP - 410
LA - fre
KW - Grupos de homotopía; Variedades de Poisson; Foliación riemanniana; Variedad simpléctica; Poisson manifold; symplectic Lie groupoid; homotopy groupoid; Riemannian foliation
UR - http://eudml.org/doc/41078
ER -

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