On characterization of Poisson and Jacobi structures

Details On characterization of Poisson and Jacobi structures On characterization of Poisson and Jacobi structures

2002-10-23

arxiv.org/abs/math/0210361v1

Central European J. Math. 1 (2003), 123-140

Mathematics

Differential Geometry

LaTeX, 14 pages

Scientific paper

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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