The object of this paper is to classify paracontact metric (k, μ)-spaces satisfying certain curvature conditions. We show that a paracontact metric (k, μ)-space is Ricci semisymmetric if and only if the metric is Einstein, provided k < −1. Also we prove that a paracontact metric (k, μ)-space is φ-Ricci symmetric if and only if the metric is Einstein, provided k ≠ 0, −1. Moreover, we show that in a paracontact metric (k, μ)-space with k < −1, a second order symmetric parallel tensor is a constant multiple of the associated metric tensor. Several consequences of these results are discussed.

Keywords: paracontact metric (k, µ)-spaces, Ricci semisymmetric, Φ-Ricci symmetry, second order parallel tensor, Einstein manifold.