Curvature of Contact Metric Manifolds

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


In this chapter we discuss many aspects of the curvature of contact metric manifolds. We begin with some preliminaries concerning the tensor field h. Let M 2n+1 be a contact metric manifold with structure tensors (ϕ, ξ, η, g) and h = ½£ ξ ϕ as before. Recall that in Lemma 6.2 we saw that ∇ X ξ = -ϕXϕhX.


Riemannian Manifold Symmetric Space Sectional Curvature Constant Curvature Sasakian Manifold 


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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • David E. Blair
    • 1
  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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