Abstract

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.

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