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, BEHZAD and KASHANI, NILOUFAR HOSSEINPOUR
(2013)
"On nearly Kenmotsu manifolds,"
Turkish Journal of Mathematics: Vol. 37:
No.
6, Article 14.
https://doi.org/10.3906/mat-1207-38
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss6/14
