Singularities of Poisson and Nambu structures
Jean-Paul Dufour (2000)
Banach Center Publications
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Jean-Paul Dufour (2000)
Banach Center Publications
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Nunes da Costa, J.M. (1997)
Portugaliae Mathematica
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Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Monterde, J. (2004)
Portugaliae Mathematica. Nova Série
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Partha Guha (2004)
Archivum Mathematicum
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In this note we discuss the geometrical relationship between bi-Hamiltonian systems and bi-differential calculi, introduced by Dimakis and Möller–Hoissen.
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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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.