On characterization of Poisson and Jacobi structures

Janusz Grabowski; Paweŀ Urbański

Open Mathematics (2003)

  • Volume: 1, Issue: 1, page 123-140
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Janusz Grabowski, and Paweŀ Urbański. "On characterization of Poisson and Jacobi structures." Open Mathematics 1.1 (2003): 123-140. <http://eudml.org/doc/268760>.

@article{JanuszGrabowski2003,
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.},
author = {Janusz Grabowski, Paweŀ Urbański},
journal = {Open Mathematics},
keywords = {17B62 17B66 53D10 53D17},
language = {eng},
number = {1},
pages = {123-140},
title = {On characterization of Poisson and Jacobi structures},
url = {http://eudml.org/doc/268760},
volume = {1},
year = {2003},
}

TY - JOUR
AU - Janusz Grabowski
AU - Paweŀ Urbański
TI - On characterization of Poisson and Jacobi structures
JO - Open Mathematics
PY - 2003
VL - 1
IS - 1
SP - 123
EP - 140
AB - 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.
LA - eng
KW - 17B62 17B66 53D10 53D17
UR - http://eudml.org/doc/268760
ER -

References

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