On k‐type null Cartan slant helices in Minkowski 3‐space

Abstract

In this paper, we define k‐type null Cartan slant helices lying on a timelike surface in Minkowski space according to their Darboux frame, where k ∈ {0,1,2}. We study these helices by using their geodesic curvature, normal curvature , and geodesic torsion. Additionally, we determine their axes and consider the special cases when the mentioned helices are geodesic curves and principal curvature lines lying on the timelike surface in . Furthermore, we obtain some interesting relations between 0‐, 1‐, and 2‐type null Cartan slant helices.