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On characterization of Poisson and Jacobi structures |
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| Authors: | Janusz Grabowski Paweŀ Urbański |
| Affiliation: | (1) Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, P.O. Box 21, 00-956 Warszawa, Poland;(2) Division of Mathematical Methods in Physics, University of Warsaw, Hoża 74, 00-682 Warszawa, Poland |
| Abstract: | 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. |
| Keywords: | Jacobi structures Poisson structures Lie algebroids tangent lifts |
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