Some remarks on almost Kenmotsu manifolds.

Binh, T.Q.; Tamássy, L.; De, U.C.; Tarafdar, M.

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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 $A {(P Z S)}_{n}$ ( $n > 3$ ) is a manifold of quasi constant curvature. Finally, we give an example to verify the result already obtained...