Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières

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

ISSN: 0214-1493

Datum der Publikation: 1989

Titel der Ausgabe: Mois de Jun Feuilleté/Semester on Differential Geometry

Ausgabe: 33

Nummer: 3

Seiten: 423-430

Art: Artikel

DOI: 10.5565/PUBLMAT_33389_04 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Andere Publikationen in: Publicacions matematiques

Zusammenfassung

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.