On pseudo null and null cartan darboux helices in minkowski 3-space

Abstract

In this paper, we introduce the notion of pseudo null and null Cartan Darboux helices in Minkowski 3-space. We characterize the Darboux vectors of the pseudo null and the null Cartan curves in terms of the Darboux helices and the rectifying curves. We find an explicit parameter equation of a pseudo null curve of constant precession and prove that there are no null Cartan curves of constant precession. Finally, we give some examples