Poisson Structures on Cotangent Bundles
| dc.creator | Mitric, Gabriel | |
| dc.date | 2001-12-08 | |
| dc.date.accessioned | 2026-07-07T04:45:07Z | |
| dc.date.available | 2026-07-07T04:45:07Z | |
| dc.description | 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. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0112084 | |
| dc.identifier | http://arxiv.org/abs/math/0112084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62850 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D17 | |
| dc.title | Poisson Structures on Cotangent Bundles | |
| dc.type | text |