On Nonlightlike Curves in Minkowski Space-time

Authors : Melek ERDOĞDU

Pages : 208-216

View : 10 | Download : 7

Publication Date : 2019-04-15

Article Type : Research Paper

Abstract :In this paper, some special nonlightlike curves are investigated depending on characterizations of their Serret-Frenet frames in Minkowski space-time. Firstly, a great survey of nonlightlike curves in Minkowski space-time is stated. To generalize the results, the nonlightlike curves with the character of Serret-Frenet frame insert ignore into journalissuearticles values(ε₁,ε₂,ε₃,ε₄); are considered. So that, the necessary or/and sufficient conditions of a given nonlightlike curve to be a straight line, plane curve, helix and to lie on pseudohyperbolical space H₀³insert ignore into journalissuearticles values(r); and Lorentzian hypersphere S₀³insert ignore into journalissuearticles values(r); are stated both depending on curvature functions and character of Serret-Frenet frame of the curve, respectively.
Keywords : Minkowski Space time, Nonlightlike Curve, Serret Frenet Frame