English

Locally Lagrangian Symplectic and Poisson Manifolds

Symplectic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0008097,
  title  = {Locally Lagrangian Symplectic and Poisson Manifolds},
  author = {Izu Vaisman},
  journal= {arXiv preprint arXiv:math/0008097},
  year   = {2007}
}

Comments

LaTex, 21 pages. Lecture at ``Poisson 2000'', CIRM, Luminy, France, June 26-30, 2000