On generalized Φ-Recurrent of Kenmotsu type manifolds

The present paper studies the generalized Φ-recurrent of Kenmotsu type manifolds. This is done to determine the components of the covariant derivative of the Riemannian curvature tensor. Moreover, the conditions which make Kenmotsu type manifolds to be locally symmetric or generalized Φ-recurrent have been established. It is also concluded that the locally symmetric of Kenmotsu type manifolds are generalized Φ-recurrent under suitable condition and vice versa. Furthermore, the study establishes the relationship between the Einstein manifolds and locally symmetric of Kenmotsu type manifolds.