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 f-recurrent nearly Kenmotsu manifold is an Einstein manifold and every locally f-recurrent nearly Kenmotsu manifold is a manifold of constant curvature -1 .
Field : Fen Bilimleri ve Matematik
Journal Type : Uluslararası
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