Locally Lagrangian symplectic and poisson manifolds

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We discuss symplectic manifolds where, locally, the structure is that encountered in Lagrangian dynamics. Examples 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 symplectic structures to Poisson manifolds. The paper is the text of a lecture presented at the Conference "Poisson 2000" held at CIRM, Luminy, France, between June 26 and June 30, 2000. It reviews results contained in the author's papers [9, 12, 13] as well as in papers by other authors.

Original languageEnglish
Pages (from-to)43-58
Number of pages16
JournalRendiconti del Seminario Matematico
Issue number1
StatePublished - 2001

ASJC Scopus subject areas

  • General Mathematics


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