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On Contact Metric R-Harmonic Manifolds
unpublished
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In this paper we consider contact metric R-harmonic manifolds M with ξ belonging to (κ, µ)-nullity distribution. In this context we have κ ≤ 1. If κ < 1, then M is either locally isometric to the product E n+1 × S n (4), or locally isometric to E(2) (the group of the rigid motions of the Euclidean 2-space). If κ = 1, then M is an Einstein-Sasakian manifold. Mathematics Subject Classification: 53C05, 53C20, 53C21, 53C25.
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