Abstract
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:
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(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;
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(2)
the symplectic manifold (M, ω) is a graded symplectic manifold.
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© 1991 Springer-Verlag New York, Inc.
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Boyom, N.B. (1991). Sur Quelques Questions de Géométrie Symplectique. In: Dazord, P., Weinstein, A. (eds) Symplectic Geometry, Groupoids, and Integrable Systems. Mathematical Sciences Research Institute Publications, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9719-9_3
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DOI: https://doi.org/10.1007/978-1-4613-9719-9_3
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