Mathematics – Differential Geometry
Scientific paper
2001-12-08
Mathematics
Differential Geometry
24 pages
Scientific paper
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 bivector fields which induce a given Poisson structure w on the base manifold M is constructed. In particular, the horizontal lifting of a Poisson structure from M to T*M via connections gives such bivector fields and we discuss the conditions for these lifts to be Poisson bivector fields and their compatibility with the canonical Poisson structure on T*M. Finally, for a 2-form on a Riemannian manifold, we study the conditions for some associated 2-forms on T*M to define Poisson structures on cotangent bundles.
No associations
LandOfFree
Poisson Structures on Cotangent Bundles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Poisson Structures on Cotangent Bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poisson Structures on Cotangent Bundles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-407076