2 papers
math.DG2001
Poisson Structures on Cotangent Bundles
Gabriel Mitric
We make a study of Poisson structures of T*M which are graded structures when restricted to the fiberwise polynomial algebra, and give examples. A class of more general graded bive…
math.DG2001
Poisson structures on tangent bundles
Gabriel Mitric, Izu Vaisman
The paper starts with an interpretation of the complete lift of a Poisson structure from a manifold M to its tangent bundle TM by means of the Schouten- Nijenhuis bracket of covari…