Q917106
type: Item
instance of: scholarly article
title: Sur l'intégration symplectique de la structure de Poisson singulière \(\bigwedge =(x^ 2+y^ 2)\frac{\partial}{\partial x}\wedge \frac{\partial}{\partial y}\) de \({\mathbb{R}}^ 2\). (On symplectic integration of the singular Poisson structure \(\bigwedge =(x^ 2+y^ 2)\frac{\partial}{\partial x}\wedge \frac{\partial}{\partial y}\) in \({\mathbb{R}}^ 2)\)
zbMATH Open document ID: 0704.58018
DOI: 10.5565/PUBLMAT_33389_02
author: Fernando Alcalde Cuesta
author: Pierre Dazord
author: Gilbert Hector
published in: Publicacions Matemàtiques
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/41079
review text: The singular Poisson structure given in the title is shown to admit a symplectic realization by a Lie groupoid in the sense of \textit{A. Coste}, the second author, and \textit{A. Weinstein} [Publ. Dep. Math., Nouv. Ser., Univ. Claude Bernard, Lyon 2/A, 1-62 (1987; Zbl 0668.58017)].
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 4155493
zbMATH Keywords: singular Poisson structure
zbMATH Keywords: symplectic realization
zbMATH Keywords: Lie groupoid
reviewed by: Peter W. Michor
MaRDI profile type: Publication
OpenAlex ID: W1808566385
label: Sur l'intégration symplectique de la structure de Poisson singulière \(\bigwedge =(x^ 2+y^ 2)\frac{\partial}{\partial x}\wedge \frac{\partial}{\partial y}\) de \({\mathbb{R}}^ 2\). (On symplectic integration of the singular Poisson structure \(\bigwedge =(x^ 2+y^ 2)\frac{\partial}{\partial x}\wedge \frac{\partial}{\partial y}\) in \({\mathbb{R}}^ 2)\)
description: scientific article; zbMATH DE number 4155493