On rectifying curves in Minkowski 3-space

In this study, we investigate the rectifying curve and its centrode by using a dilation of a unit speed curve on pseudo-sphere or pseudo-hyperbolic space. Firstly, considering a causal character of any curve, we study the connection between Serret-Frenet apparatus of the curve on pseudo-sphere or pseudo-hyperbolic space and its dilation. Then, we extend necessary conditions in order to make the centrode a rectifying curve. Also, we examine some properties of centrode which is a rectifying curve.