This article aims to classify the Einstein-type metrics on Kenmotsu and almost Kenmotsu
manifolds. In Kenmotsu case, we find that it is T-Einstein. Also, if the manifold is complete …

First, we consider a non-trivial Einstein-type equation on a Kenmotsu manifold M and show
that either M is Einstein or the potential function is pointwise collinear with ξ on an open set …

We introduce the notion of semi-symmetric $\ast $-Ricci tensor and illustrate that a non-
Sasakian $(\kappa,\mu) $-contact manifold is $\ast $-Ricci semi-symmetric or has parallel …

We introduce the notion of semi-symmetric∗-Ricci tensor and illustrate that a non-Sasakian
(κ, µ)-contact manifold is∗-Ricci semi-symmetric or has parallel∗-Ricci operator if and only if …