Symplectic Manifolds

  • David E. Blair
Part of the Progress in Mathematics book series (PM, volume 203)


To set the stage for our development, we begin this book with a treatment of the basic features of symplectic geometry. By a symplectic manifold we mean an even-dimensional differentiable (C ) manifold M 2n n together with a global 2-form Ω which is closed and of maximal rank, i.e., dΩ = 0, Ω n ≠ 0. By a symplectomorphism f: (M 1, Ω1) → (M 2, Ω2) we mean a diffeomorphism f : M 1M 2 such that f21.


Symplectic Form Symplectic Manifold Betti Number Cotangent Bundle Lagrangian Submanifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • David E. Blair
    • 1
  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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