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Turkish Journal of Mathematics

DOI

10.3906/mat-1207-38

Abstract

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 .

First Page

1040

Last Page

1047

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