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. In this chapter we discuss symplectic manifolds and make brief mention of “associated metrics”, a topic that will be thoroughly discussed in Chapter 4. Here we treat in detail Lagrangian submanifolds and theorems of Darboux and Weinstein on the local structure of a symplectic manifold. We end this chapter with a brief discussion of symplectomorphisms.


Symplectic Form Symplectic Manifold Betti Number Cotangent Bundle Ahler Manifold 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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