2002/10/23 by Janusz Grabowski, Pawel Urbanski
Mathematics · Physics and Astronomy · #math.DG #math-ph #math.MP #msc:17B62 #msc:17B66 #msc:53D10 #msc:53D17
published as Central European J. Math. 1 (2003), 123-140 · LaTeX, 14 pages
arxiv created 2002/10/23 · arxiv updated 2009/11/30
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.