Z-Symmetric Manifolds Admitting Schouten Tensor.

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