On Kenmatsu manifolds Satisfying Certain Conditions

Abstract

In this paper, we study 3-dimensional Kenmostu manifolds, weakely Ricci symmetric Kenmostu manifolds and generalized Ricci recurrent Kenmostu manifolds and prove that conformably flat Kenmostu manifold is -Einstein manifolds, deduced that the square length of Ricci tensor. Further proved that if weakly Ricci-symmetric Kenmostu manifolds satisfies Ricci symmetric condition then manifolds Einstein manifold. In last we prove that if generalized Ricci recurrent Kenmostu manifolds satisfies the condition ( )(Y)=0 then .