Complementary 2-forms of Poisson structures
Izu Vaisman (1996)
Compositio Mathematica
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Izu Vaisman (1996)
Compositio Mathematica
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Charles-Michel Marle (2000)
Banach Center Publications
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We obtain conditions under which a submanifold of a Poisson manifold has an induced Poisson structure, which encompass both the Poisson submanifolds of A. Weinstein [21] and the Poisson structures on the phase space of a mechanical system with kinematic constraints of Van der Schaft and Maschke [20]. Generalizations of these results for submanifolds of a Jacobi manifold are briefly sketched.
Veronique Chloup (2000)
Banach Center Publications
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The aim of this paper is to give an overview concerning the problem of linearization of Poisson structures, more precisely we give results concerning Poisson-Lie groups and we apply those cohomological techniques to star products.
Alan Weinstein (2000)
Banach Center Publications
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Jan Vysoký, Ladislav Hlavatý (2012)
Archivum Mathematicum
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Poisson sigma models represent an interesting use of Poisson manifolds for the construction of a classical field theory. Their definition in the language of fibre bundles is shown and the corresponding field equations are derived using a coordinate independent variational principle. The elegant form of equations of motion for so called Poisson-Lie groups is derived. Construction of the Poisson-Lie group corresponding to a given Lie bialgebra is widely known only for coboundary Lie bialgebras....
Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Manuel de León, David Martín de Diego (1995)
Extracta Mathematicae
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