In this paper, we prove that the Ricci tensor of an almost Kenmotsu 3-h-manifold is cyclic-parallel if and only if it is parallel and hence, the manifold is locally isometric to either the hyperbolic space H3(−1) or the Riemannian product H2(−4)× R. c ©2016 All rights reserved.

We study the consequences of timelike and spaccelike conformal Ricci and conformal matter collineations for anisotropic fluid in the context of General Relativity. Necessary and sufficient conditions are derived for a spacetime with anisotropic fluid to admit conformal Ricci and conformal matter collineations parallel to u and x. These conditions for timelike and spacelike conformal Ricci and c...

We classify the paracontact Riemannian manifolds that their Riemannian curvature satisfies in the certain condition and we show that this classification is hold for the special cases semi-symmetric and locally symmetric spaces. Finally we study paracontact Riemannian manifolds satisfying R(X, ξ).S = 0, where S is the Ricci tensor.

The paper deals with the study of Z-symmetric manifolds (ZS)n admitting certain cases Schouten tensor (specifically: Ricci-recurrent, cyclic parallel, Codazzi type and covariantly constant), investigate some geometric physical properties manifold. Moreover, we also (ZS)4 spacetimes tensor. Finally, construct an example to verify our result.

The goal of the current paper is to characterize $*$-$k$-Ricci-Yamabe soliton within framework on Kenmotsu manifolds. Here, we have shown nature and find scalar curvature when manifold admitting manifold. Next, evolved characterization vector field satisfies soliton. Also embellished some applications as torse-forming in terms Then, studied gradient $\ast$-$\eta$-Einstein yield Riemannian tenso...