Locally Lagrangian Symplectic and Poisson Manifolds

Details Locally Lagrangian Symplectic and Poisson Manifolds Locally Lagrangian Symplectic and Poisson Manifolds

2000-08-14

arxiv.org/abs/math/0008097v1

Mathematics

Symplectic Geometry

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

Scientific paper

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.

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