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La trilogie du moment

Patrick Iglesias (1995)

Annales de l'institut Fourier

A toute deux-forme fermée, sur une variété connexe, on associe une famille d’extensions centrales du groupe de ses automorphismes par son tore des périodes. On discute ensuite quelques propriétés de cette construction.

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

G. Héctor, E. Macías, M. 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 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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