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Sur Quelques Questions de Géométrie Symplectique

  • Nguiffo B. Boyom
Conference paper
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 20)

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 × MM is “regular” and “closed” I sketch the proof of two main results:
  1. (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. (2)

    the symplectic manifold (M, ω) is a graded symplectic manifold.

     

Keywords

Symplectic Manifold Localement Plate Symplectic Action Nous Allons Condition Suivante 
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Copyright information

© Springer-Verlag New York, Inc. 1991

Authors and Affiliations

  • Nguiffo B. Boyom
    • 1
  1. 1.URA CNRS 1407-GDR 144 Départment de MathématiquesUniversité de Montpellier IIMontpellier Cedex 5France

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