On harmonic curvatures of a Frenet curve in Lorentzian space

In this paper, we consider curves of AW(k)-type, 1 ⩽ k ⩽ 3, in Lorentzian space. We give curvature conditions of these kind of curves. Furthermore, we study harmonic curvatures of curves of AW(k)-type. We investigate that under what conditions AW(k)-type curves are helix. Some related theorems and corollaries are also proved.