On ?-Ricci Recurrent Almost Kenmotsu Manifolds with Nullity Distributions

Abstract

The purpose of this paper is to investigate?-Ricci recurrent and?-Ricci symmetric almostKenmotsu manifolds with its characteristic vector field?belonging to some nullity distributions.Also we obtain several corollaries. Finally, we give an example of aKenmotsu manifold such that?belongs to the(k, µ)0-nullity distribution andh06= 0.-dimensional almost.