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Erschienen in:
2002 | OriginalPaper | Buchkapitel
Symplectic Manifolds
verfasst von : David E. Blair
Erschienen in: Riemannian Geometry of Contact and Symplectic Manifolds
Verlag: Birkhäuser Boston
Enthalten in: Professional Book Archive
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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 M2nn together with a global 2-form Ω which is closed and of maximal rank, i.e., dΩ = 0, Ωn ≠ 0. By a symplectomorphism f: (M1, Ω1) → (M2, Ω2) we mean a diffeomorphism f : M1 → M2 such that f*Ω2 =Ω1.