On T-slant, N-slant and B-slant helices in pseudo-Galilean space G13

Abstract

In this paper, we introduce T-slant, N-slant and B-slant helices in the pseudo-Galilean space G13 and define an angle between the spacelike and the timelike isotropic vector lying in the pseudo-Euclidean plane x = 0. In particular, we obtain the explicit parameter equations of the T-slant helices and prove that there are no N-slant and B-slant helices in G13. We also prove that there are no Darboux helices in the same space.