Slant Helices in Dual Lorentzian Space D3 1

Abstract

In this paper, we consider a unit speed dual Lorentzian curve α  in dual Lorentzian space

Associated curves of a Frenet curve in the dual Lorentzian space

“…Then γ is a dual slant helix (slant helix in D 3 1 ) that is the principal normal vector of γ makes a constant dual angle with a constant vector V in D 3 1 iff the principal directional curve of γ is a general helix in D 3 1 that is the dual unit tangent vector of γ 0 makes a constant dual angle with a constant vector V in D 3 1 . On the other hand, a slant helix is the principal donor curve of a general helix and a general helix is the principal directional curve of a slant helix in D 3 1 (see [3,15] for slant helices)…”