A New Kind of Slant Helix in Lorentzian (n + 2)- Spaces

Abstract

In this paper, we introduce a new kind of slant helix for null curves called null Wn−slant helix and we give a definition of new harmonic curvature functions of a null curve in terms of Wn in (n + 2)−dimensional Lorentzian space M 1 (for n > 3). Also, we obtain a characterization such as: “The curve α is a null Wn − slant helix ⇔ H ′ n − k1Hn−1 − k2Hn−3 = 0” where Hn, Hn−1 and Hn−3 are harmonic curvature functions and k1, k2 are the Cartan curvature functions of the null curve α.