Tangent Lifts of Poisson and Related Structures

Janusz Grabowski; Pawel Urbanski

doi:10.1088/0305-4470/28/23/024

Tangent Lifts of Poisson and Related Structures

Differential Geometry 2009-11-13 v1 Mathematical Physics math.MP

Authors: Janusz Grabowski , Pawel Urbanski

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Abstract

The derivation $d_T$ on the exterior algebra of forms on a manifold $M$ with values in the exterior algebra of forms on the tangent bundle $TM$ is extended to multivector fields. These tangent lifts are studied with applications to the theory of Poisson structures, their symplectic foliations, canonical vector fields and Poisson-Lie groups.

Keywords

tangent lifts poisson structures multivector fields symplectic foliations canonical vector fields poisson-lie groups

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@article{arxiv.math/0701076,
  title  = {Tangent Lifts of Poisson and Related Structures},
  author = {Janusz Grabowski and Pawel Urbanski},
  journal= {arXiv preprint arXiv:math/0701076},
  year   = {2009}
}

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33 pages. To make the 1995-paper easily available

Tangent Lifts of Poisson and Related Structures

Abstract

Keywords

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