Abstract
In this paper, we study null helices, Cartan slant helices and two special developable surfaces associated to them in Lorentz–Minkowski 3-space. We give a method using a special plane curve to construct a null helix. We also define the null tangential Darboux developable of a null Cartan curve, and we give a classification of singularities of it. Moreover, we study the relationship between null helices (or Cartan slant helices) with the developable surfaces of them.
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