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Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières.

G. HéctorE. MacíasM. Saralegui — 1989

Publicacions Matemàtiques

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 H(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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