Poisson structures on cotangent bundles.
Mitric, Gabriel (2003)
International Journal of Mathematics and Mathematical Sciences
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Mitric, Gabriel (2003)
International Journal of Mathematics and Mathematical Sciences
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Nunes da Costa, J.M. (1997)
Portugaliae Mathematica
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Alan Weinstein (2000)
Banach Center Publications
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Izu Vaisman (1996)
Compositio Mathematica
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Tamarkin, Dmitry (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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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.
Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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Monterde, J. (2004)
Portugaliae Mathematica. Nova Série
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