On nearly Kenmotsu manifolds

We prove that on a nearly Kenmotsu manifold a second-order symmetric closed recurrent tensor is a multiple of the associated metric tensor. We then find the necessary condition under which a vector field on a nearly Kenmotsu manifold will be a strict contact or Killing vector field. Finally, we prove that every phi-recurrent nearly Kenmotsu manifold is an Einstein manifold and every locally phi-recurrent nearly Kenmotsu manifold is a manifold of constant curvature -1 .