Turkish Journal of Mathematics
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 .
Almost contact metric, Kenmotsu manifold, nearly Kenmotsu manifold
NAJAFI, BEHZAD and KASHANI, NILOUFAR HOSSEINPOUR
"On nearly Kenmotsu manifolds,"
Turkish Journal of Mathematics: Vol. 37:
6, Article 14.
Available at: https://journals.tubitak.gov.tr/math/vol37/iss6/14