Turkish Journal of Mathematics
Article Title
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
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
