Poisson brackets with prescribed casimirs
Date
2012ISSN
0008-414XSource
Canadian Journal of MathematicsVolume
64Issue
5Pages
991-1018Google Scholar check
Keyword(s):
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Show full item recordAbstract
We consider the problem of constructing Poisson brackets on smooth manifolds M with prescribed Casimir functions. If M is of even dimension, we achieve our construction by considering a suitable almost symplectic structure on M, while, in the case where M is of odd dimension, our objective is achieved using a convenient almost cosymplectic structure. Several examples and applications are presented.