Defines generalized null Cartan rectifying curves in Minkowski 3-space, suggesting new construction methods and relationships with related curves.
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.
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Zhou et al. (2026) studied this question.
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