On nearly Kenmotsu manifolds
Authors : Behzad Najafi, Niloufar Hosseinpour Kashani
Pages : 1040-1047
Doi:10.3906/mat-1207-38
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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 f-recurrent nearly Kenmotsu manifold is an Einstein manifold and every locally f-recurrent nearly Kenmotsu manifold is a manifold of constant curvature -1 .Keywords : Almost contact metric, Kenmotsu manifold, nearly Kenmotsu manifold