A review on the Vn-slant helices in lightlike cone Qn+1 En+2

Abstract

In this paper, Vn-slant helices and the harmonic curvature functions of Vn-slant helices are de ned in lightlike cone Qn+1, and the differential equations of the harmonic curvature functions Hi, 1<i<n-2 of Vn-slant helices are expressed by using constant vector field W that is the axis of Vn slant helices. Also, the necessary and sufficient conditions are given according to the condition of being Vn-slant helices by using the asymptotic orthonormal frame in Qn+1.