ON DARBOUX HELICES IN MINKOWSKI SPACE ℝ₁³

Subject	Applied Mathematics
Title	ON DARBOUX HELICES IN MINKOWSKI SPACE ℝ₁³
Author(s)	Ali ŞENOL, Evren ZIPLAR, Yusuf YAYLI
Keywords	Minkowski 3-space; Frenet equations; Helices; Slant helices; Curves of constant precession; Darboux vector.
Abstract	In the present study, we give the conditions for a curve in the Minkowski space to be a Darboux helix. We show that α is a Darboux helix if there exists a fixed direction d in ℝ₁³ such that the function is constant. We give the relation between slant helice and Darboux helice. As a particular case, if we take ‖w‖=constant, the curves are constant precession. Some more particular cases of constant precession curves are studied.