On k-type pseudo null slant helices due to the Bishop frame in Minkowski 3-space <em>E</em>₁³

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.

Keywords

• bishop frame
• pseudo null curve
• k-type pseudo null slant helix