On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions

Abstract

In the present paper, we have studied the curvature tensors of (k,μμ)-paracontact metric manifold satisfying the conditions ˜Z(X,Y)⋅R=0Z~(X,Y)⋅R=0, ˜ZZ~, \ R(X,Y)⋅˜Z=0R(X,Y)⋅Z~=0 and $R(X,Y)\cdot R=0$. According the cases, we have classified (k,μk,μ)-paracontact metric manifolds.