In this paper we studied some curvature properties of special metrics with physical applications. We showed that strictly walker manifolds of dimension four are with recurrent curvature tensor and also we specified the sufficient condition for these manifolds to be locally symmetric. We also showed that oscillator groups, equipped with a one parameter family of left invariant Lorentzian metrics and with recurrent curvature tensor, are locally symmetric. Also recurrent curvature condition for some other metrics which are physically relevant significant were checked, e.g., generalized symmetric pseudo Riemannian manifolds which were showed that are not with recurrent curvature tensor.
