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,$\mu$)-paracontact metric manifold satisfying the conditions $\tilde{Z}(X,Y)\cdot R=0$, $\tilde{Z}$, \ $R(X,Y)\cdot \tilde{Z}=0$  and $R(X,Y)\cdot R=0$. According the cases, we have classified ($k,\mu$)-paracontact metric manifolds.

Keywords

• ($k,\mu$)-paracontact manifold
• $\eta$-Einstein manifold
• concircular curvature tensor
• Riemannian curvature tensor

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