Tangent lifts of Poisson and related structures
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.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- December 1995
- DOI:
- 10.1088/0305-4470/28/23/024
- arXiv:
- arXiv:math/0701076
- Bibcode:
- 1995JPhA...28.6743G
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematical Physics;
- 53C15;
- 53C12;
- 53D17
- E-Print:
- 33 pages. To make the 1995-paper easily available