On almost Kenmotsu manifolds with nullity distributions

Uday Chand De, Jae Bok Jun, Krishanu Mandal
2017 Tamkang Journal of Mathematics  
The object of this paper is to characterize the curvature conditions R · P = 0 and P · S = 0 with its characteristic vector field ξ belonging to the (k, µ) ′ -nullity distribution and (k, µ)-nullity distribution respectively, where P is the Weyl projective curvature tensor. As a consequence of the main results we obtain several corollaries.
doi:10.5556/j.tkjm.48.2017.2272 fatcat:ochjjzaqmvh6za2gpsacmls2qm