Almost Kenmotsu manifolds with conformal Reeb foliation

We consider almost Kenmotsu manifolds with conformal Reeb foliation. We prove that such a foliation produces harmonic morphisms, we study the k-nullity distributions and we discuss the isometrical immersion of such a manifold M as hypersurface in a real space form (M) over tilde (c) of constant curvature c proving that c <= 1 and, if c < - 1, M is totally umbilical, Kenmotsu and locally isometric to the hyperbolic space of constant curvature -1. Finally, the Einstein and eta-Einstein conditions are discussed.