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arXiv · math/0701076

Tangent Lifts of Poisson and Related Structures

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.

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Janusz Grabowski, Pawel Urbanski. 2007-01-02. Tangent Lifts of Poisson and Related Structures. https://doi.org/10.1088/0305-4470/28/23/024

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