Generalized null Cartan rectifying curves in Minkowski 3-space

In this paper, we define generalized null Cartan rectifying curves which may have singular points. We propose a construction method for generalized null Cartan rectifying curves, which is more general than the one for regular null rectifying curves, as it also applies to non-regular cases. Moreover, we explore the relationships between generalized null Cartan rectifying curves, generalized null Cartan helices and centrodes.