In this article, normal paracontact metric space forms are investigated on W_0-curvature tensor. Characterizations of obtained Special curvature conditions established with the help Riemann, Ricci, concircular tensors discussed With these conditions, important characterizations obtained.

In this paper, we introduce the adapted frame of framed curves and give relations between Frenet type curve in four-dimensional Euclidean space. Moreover, define normal We obtain some characterizations terms their curvature functions. Furthermore, necessary sufficient condition for a to be curve.