On characterization of Poisson and Jacobi structures
classification
🧮 math.DG
math-phmath.MP
keywords
structuresjacobipoissonalgebroidscanonicalcorrespondingliftsassociated
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We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of corresponding vector bundles. Similar results hold for generalized Poisson and Jacobi structures (canonical structures) associated with Lie algebroids and Jacobi algebroids.
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