We study pseudo symmetric (briefly <TEX>(PS)ₙ</TEX>) and pseudo Ricci symmetric (briefly <TEX>(PRS)ₙ</TEX>) warped product manifolds <TEX>M×FN</TEX>. If M is <TEX>(PS)ₙ</TEX>, then we give a condition on the warping function that M is a pseudosymmetric space and N is a space of constant curvature. If M is <TEX>(PRS)ₙ</TEX>, then we show that (i) N is Ricci symmetric and (ii) M is <TEX>(PRS)ₙ</TEX> if and only if the tensor T defined by (2.6) satisfies a certain condition.
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De et al. (2010) studied this question.