Sasakian and Cosymplectic Manifolds

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


In this chapter we define the normality of an almost contact structure and the notion of a Sasakian manifold as a normal contact metric manifold. We also introduce another important structure tensor, h, which will be useful in the study of non-Sasakian contact metric manifolds. As an additional topic, cosymplectic manifolds will be discussed in some detail. We also give several examples and additional commentary.


Betti Number Contact Structure Ahler Manifold Contact Manifold Sasakian 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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