On k-type pseudo null slant helices due to the Bishop frame in Minkowski 3-space <i>E</i><sub>1</sub><sup>3</sup>

Abstract

In this study, we examine k-type pseudo null slant helices due to the Bishop frame, where k∈{0, 1, 2}. There are two different cases of the Bishop frame of a pseudo null curve related to the Bishop curvatures. Based on these cases, we present that every pseudo null curve is a k-type pseudo null curve according to the Bishop frame in Minkowski 3-space E13. Then we obtain the axes of k-type pseudo null slant helices, and determine their causal characters.