Locally Lagrangian Symplectic and Poisson Manifolds
arXiv:math/0008097
Abstract
We discuss symplectic manifolds where, locally, the structure is that encountered in Lagrangian dynamics. Exemples and characteristic properties are given. Then, we refer to the computation of the Maslov classes of a Lagrangian submanifold. Finally, we indicate the generalization of this type of structures to Poisson manifolds.
LaTex, 21 pages. Lecture at ``Poisson 2000'', CIRM, Luminy, France, June 26-30, 2000