Dirac submanifolds and Poisson involutions
Ping Xu (2003)
Annales scientifiques de l'École Normale Supérieure
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Ping Xu (2003)
Annales scientifiques de l'École Normale Supérieure
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Marius Crainic, Chenchang Zhu (2007)
Annales de l’institut Fourier
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We discuss the integrability of Jacobi manifolds by contact groupoids, and then look at what the Jacobi point of view brings new into Poisson geometry. In particular, using contact groupoids, we prove a Kostant-type theorem on the prequantization of symplectic groupoids, which answers a question posed by Weinstein and Xu. The methods used are those of Crainic-Fernandes on -paths and monodromy group(oid)s of algebroids. In particular, most of the results we obtain are valid also in the...
Kirill Mackenzie (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Ronald Brown, Osman Mucuk (1995)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Jan Kubarski (1982)
Colloquium Mathematicae
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Kirill Mackenzie (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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P. M. Kouotchop Wamba, A. Ntyam (2013)
Archivum Mathematicum
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The tangent lifts of higher order of Dirac structures and some properties have been defined in [9] and studied in [11]. By the same way, the tangent lifts of higher order of Poisson structures have been studied in [10] and some applications are given. In particular, the authors have studied the nature of the Lie algebroids and singular foliations induced by these lifting. In this paper, we study the tangent lifts of higher order of multiplicative Poisson structures, multiplicative Dirac...