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      Poisson brackets with prescribed Casimirs

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          Abstract

          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 by using a convenient almost cosymplectic structure. Several examples and applications are presented.

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                Author and article information

                Journal
                1103.0849

                Geometry & Topology
                Geometry & Topology

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