Geodesic
On Almost Pseudo-Z-symmetric Manifolds
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 25-43

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The object of the present paper is to study almost pseudo-Z-symmetric manifolds. Some geometric properties have been studied. Next we consider conformally flat almost pseudo-Z-symmetric manifolds. We obtain a sufficient condition for an almost pseudo-Z-symmetric manifold to be a quasi Einstein manifold. Also we prove that a totally umbilical hypersurface of a conformally flat $A(PZS)_{n}$ ($n>3$) is a manifold of quasi constant curvature. Finally, we give an example to verify the result already obtained in Section 5.
Classification : 53C25
Keywords: pseudo symmetric manifolds; pseudo Ricci symmetric manifolds; almost pseudo Ricci symmetric manifolds; almost pseudo-Z-symmetric manifolds; conformally flat almost pseudo-Z-symmetric manifolds 
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De, Uday Chand; Pal, Prajjwal. On Almost Pseudo-Z-symmetric Manifolds. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 25-43. http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a2/