On rectifying curves as centrodes and extremal curves in the Minkowski 3-space

Kazim Ilarslan, Emilija Nešović

In this paper, we characterize the spacelike, the timelike and the null rectifying curves in the Minkowski 3-space in terms of centrodes. In particular, we show that the spacelike and timelike rectifying curves are the extremal curves for which the corresponding function takes its extremal value. On the other hand, we also show that the null rectifying curves are not the extremal curves and give some interesting geometric properties of such curves.