Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières

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

ISSN: 0214-1493

Ano de publicación: 1989

Título do exemplar: Mois de Jun Feuilleté/Semester on Differential Geometry

Volume: 33

Número: 3

Páxinas: 423-430

Tipo: Artigo

DOI: 10.5565/PUBLMAT_33389_04 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Outras publicacións en: Publicacions matematiques

Resumo

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.

Fonte de datos: Dialnet