Slant helices in dual Lorentzian Space

Abstract

In this paper, we consider a unit speed dual Lorentzian curve a in dual Lorentzian space D31 and denote by {T ,N, B } the dual Frenet frame of a. We say that a is a slant helix if there exists a non-zero dual constant vector eld U in D 3 1 such that the dual function <N;U> is a dual constant.Moreover, we give some characterizations of slant helice in terms of their dualcurvatures. Finally, we show that dual tangent indicatrices and dual binormalindicatrices of slant helices are dual helices.