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Locally Lagrangian Symplectic and Poisson Manifolds

Izu Vaisman
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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.

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Izu Vaisman. 2000-08-14. Locally Lagrangian Symplectic and Poisson Manifolds. https://arxiv.org/abs/math/0008097

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