Almost Kenmotsu (k, μ)′-manifolds with Yamabe solitons

Let (M2n+1, phi, xi, eta, g) be a non-Kenmotsu almost Kenmotsu (k, mu)'-manifold. If the metric g represents a Yamabe soliton, then either M2n+1 is locally isometric to the product space Hn+1(-4) x R-n or eta is a strict infinitesimal contact transformation. The later case can not occur if a Yamabe soliton is replaced by a gradient Yamabe soliton. Some corollaries of this theorem are given and an example illustrating this theorem is constructed.