Fernando Alcalde Cuesta, Pierre Dazord, Gilbert Hector (1989)
Publicacions Matemàtiques
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The purpose of this note is to give an example of a singular Poisson structure on R which admits a symplectic realization by a Lie groupoid.
Pierre Molino (1989)
Publicacions Matemàtiques
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One gives the links between the notions of singular foliations, Γ-structures and momentum mapping in the context of symplectic geometry.
Jean-Marie Morvan (1983)
Annales de l'I.H.P. Physique théorique
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G. Héctor, E. Macías, M. Saralegui (1989)
Publicacions Matemàtiques
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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.
Fernando Alcalde-Cuesta (1988)
Extracta Mathematicae
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André Lichnerowicz (1982)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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D. Gutkin (1985)
Annales de l'I.H.P. Physique théorique
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