Title of article :
On some special classes of Kenmotsu manifolds
Author/Authors :
HONG, SUNGPYO Pohang University of Science and Technology - Department of Mathematics, Korea , OZGUR, CIHAN Balikesir University - Faculty of Arts and Sciences - Department of Mathematics, Turkey , TRIPATHI, MUKUT MANI LUC-KNOW UNIVERSITY - DEPARTMENT OF MATHEMATICS, India
Abstract :
We investigate the classes of Kenmotsu manifolds which satisfy the condition of being 77- Einstein, having 77-parallel Ricci tensor, R(ξ,X) Z = 0, R(ξ, X) R = 0, Z(ξ, X) . Z = 0, Z(£, X) . R = 0, Z(ξ, X) . S= 0 or being Ricci-pseudosymmetric, where R, Z and S denote the curvature tensor, the concircular curvature tensor and the Ricci tensor, respectively. We also prove that a transformation in a Kenmotsu manifold under certain conditions is an isometry
Keywords :
Kenmotsu manifold , 77 , parallel Ricci tensor , concircular curvature tensor , 77 , Einstein manifold and Ricci , pseudosymmetric manifold
Journal title :
Kuwait Journal of Science
Journal title :
Kuwait Journal of Science
