Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières

Autores: Gilbert Hector , Enrique Macías-Virgós , M. Saralegi
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 33, Nº 3, 1989 (Ejemplar dedicado a: Mois de Jun Feuilleté/Semester on Differential Geometry), págs. 423-430
Idioma: francés
DOI: 10.5565/publmat_33389_04
Títulos paralelos:
- Lema de Moser foliado y clasificaciones de las variedades de Poisson regulares
- Foliated Moser's lemma and classifications of regular Poisson structures
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Resumen
- 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.