Curvature of Contact Metric Manifolds
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 = -ϕX — ϕhX.
KeywordsRiemannian Manifold Symmetric Space Sectional Curvature Constant Curvature Sasakian Manifold
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