Tangent Lifts of Poisson and Related Structures

Details Tangent Lifts of Poisson and Related Structures Tangent Lifts of Poisson and Related Structures

2007-01-02

arxiv.org/abs/math/0701076v1

J. Phys. A, v.28 (1995), pp 6743-6777

Mathematics

Differential Geometry

33 pages. To make the 1995-paper easily available

Scientific paper

10.1088/0305-4470/28/23/024

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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