Associated Metrics

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


The main topic of this chapter is that of Riemannian metrics associated to symplectic and contact structures, and their construction by means of polarization. We also discuss the action of symplectic and contact transformations on associated metrics. Some of our discussion is broader, dealing with almost Hermitian and almost contact metric structures. The chapter closes with several examples.


Complex Manifold Symplectic Manifold Symmetric Tensor Contact Structure 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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