A Characterization of Non-Lightlike Curves With Respect to Parallel Transport Frame in Minkowski Space-Time

In this paper, we characterize non-ligtlike curves (x(s) = m(0)(s)T(s) + m(1)(s)M-1(s) + m(2)(s)M-2(s) + m(3)(s)M-3(s)) in terms of their curvature functions m(i)(s) (i = 0, 1, 2, 3) with the help of parallel transport frame {T,M-1,M-2,M-3}. We obtain a result about spacelike constant ratio curves. We give the necessary and sufficient conditions for such curves to be T-constant and N-constant of first and second kind. Also, we give the necessary and sufficient conditions for T-constant curves to lie on a Lorentzian sphere.