Erschienen in:

1991 | OriginalPaper | Buchkapitel

Sur Quelques Questions de Géométrie Symplectique

verfasst von : Nguiffo B. Boyom

Erschienen in: Symplectic Geometry, Groupoids, and Integrable Systems

Verlag: Springer US

Enthalten in: Professional Book Archive

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This paper summarizes a talk that I gave at the Mathematical Science Research Institute (Berkeley) in June 1989. I consider G-homogeneous symplectic manifolds (M, ω) where G is a solvable Lie group. When the symplectic action G × M → M is “regular” and “closed” I sketch the proof of two main results: (1)the manifold M has an affinely flat structure (M, D) which preserves a bilagrangian structure on (M, ω) and satisfies the condition that Dω = 0;(2)the symplectic manifold (M, ω) is a graded symplectic manifold.

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