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.
KeywordsComplex Manifold Symplectic Manifold Symmetric Tensor Contact Structure Ahler Manifold
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