ON PSEUDO-SYMMETRY CURVATURE CONDITIONS OF GENERALIZED $(k,\mu)$-PARACONTACT METRIC MANIFOLDS

Abstract

In this paper we investigate Ricci pseudo-symmetric and  Ricci generalized pseudo-symmetric generalized $(k,\mu )$-paracontact metric manifolds. Besides this we characterize generalized $(k,\mu )$-paracontact metric manifolds satisfying the curvature conditions $Q(S,R)=0$ and $Q(S,g)=0$, where $S$, $R$ are the Ricci tensor and curvature tensor respectively. Several corollaries are also obtained.

Keywords

• Generalized $(k,\mu)$-paracontact metric manifold,Ricci pseudo-symmetric manifold,Ricci generalized pseudo-symmetric manifold,Einstein manifold

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