Some results on (k, μ)′-almost Kenmotsu manifolds

Abstract

In this paper, we study the Weyl conformal curvature tensor 𝒲 and the concircular curvature tensor 𝒞 on a (k, μ)′-almost Kenmotsu manifold M2n+1 of dimension greater than 3. We obtain that if M2n+1 satisfies either R · 𝒲 = 0 or 𝒞 · 𝒞 = 0, then it is locally isometric to either the hyperbolic space ℍ2n+1 (−1) or the Riemannian product ℍn+1(−4) × ℝn.