Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems
arXiv:1910.00850 · doi:10.1016/j.physleta.2011.03.053
Abstract
A new n-dimensional family of Poisson structures is globally characterized and analyzed, including the construction of its main features: the symplectic structure and the reduction to the Darboux canonical form. Examples are given and include the generalization of previously known solution families such as the separable Poisson structures.
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