Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières

  1. Hector, Gilbert
  2. Macías-Virgós, Enrique
  3. Saralegi, M.
Journal:
Publicacions matematiques

ISSN: 0214-1493

Year of publication: 1989

Issue Title: Mois de Jun Feuilleté/Semester on Differential Geometry

Volume: 33

Issue: 3

Pages: 423-430

Type: Article

DOI: 10.5565/PUBLMAT_33389_04 DIALNET GOOGLE SCHOLAR lock_openDDD editor

More publications in: Publicacions matematiques

Abstract

Regular Poisson structures with fixed characteristic foliation F are described by means of foliated symplectic forms. Associated to each of these structures, there is a class in the second group of foliated cohomology H2(F). Using a foliated version of Moser's lemma, we study the isotopy classes of these structures in relation with their cohomology class. Explicit examples, with dim F = 2, are described.

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