Abstract
The object of the present paper is to study weakly cyclic Z symmetric manifolds. Some geometric properties have been studied. We obtain a sufficient condition for a weakly cyclic Z symmetric manifold to be a quasi Einstein manifold. Next we consider conformally flat weakly cyclic Z symmetric manifolds. Then we study Einstein (WCZS) n (n > 2). Also we study decomposable (WCZS) n (n > 2). We prove the equivalency of semisymmetry and Weyl-semisymmetry in a (WCZS) n (n > 2). Finally, we give an example of a (WCZS)4.
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