Reduction of complex Poisson manifolds.

Nunes da Costa, J.M.

Displaying similar documents to “Reduction of complex Poisson manifolds.”

Complementary 2-forms of Poisson structures

Izu Vaisman (1996)

Compositio Mathematica

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On submanifolds and quotients of Poisson and Jacobi manifolds

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.

Linearization and star products

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.

Foreword, Contents

Alan Weinstein (2000)

Banach Center Publications

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A survey on Nambu-Poisson brackets.

Vaisman, I. (1999)

Acta Mathematica Universitatis Comenianae. New Series

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Poisson–Lie sigma models on Drinfel’d double

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....

Nambu-Poisson structures and their foliations.

Mikami, Kentaro (1999)

Lobachevskii Journal of Mathematics

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Almost product structures and Poisson reduction of presymplectic systems.

Manuel de León, David Martín de Diego (1995)

Extracta Mathematicae

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