A study of \varphi-Ricci symmetric LP-Kenmotsu manifolds

Abstract

In the current article we characterize $\varphi$-Ricci symmetric (\varphi-RS) and weakly \varphi-Ricci symmetric (weakly \varphi-RS) LP-Kenmotsu m-manifolds ((LP-K)_m).  We also examine the characteristic of an (LP-K)_{3} of scalar curvature 6.  Moreover, we study (LP-K)_{m} admitting \eta-parallel Ricci tensor. At last, we construct an example of \varphi-RS (LP-K)_{3} to verify some of our results.