Turkish Journal of Mathematics
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 .
DOI
10.3906/mat-1207-38
Keywords
Almost contact metric, Kenmotsu manifold, nearly Kenmotsu manifold
First Page
1040
Last Page
1047
Recommended Citation
NAJAFI, B, & KASHANI, N. H (2013). On nearly Kenmotsu manifolds. Turkish Journal of Mathematics 37 (6): 1040-1047. https://doi.org/10.3906/mat-1207-38
