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Symplectic Manifolds

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

Abstract

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.

Keywords

Symplectic Form Symplectic Manifold Betti Number Cotangent Bundle Ahler Manifold 
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, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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