A new glimpse into the directional curves associated with a pseudo-null curve via Bishop frame

Abstract

In this study, the directional associated curves of a pseudo-null curve have been investigated according to Bishop frame in Lorentz-Minkowski 3-space. The relational equations have been obtained between the curvature functions of the pair donor-associated curves and the distance function. Furthermore, an answer has been sought to the question: does a self-associated curve of a pseudo-null curve via Bishop frame exist or not in Lorentz-Minkowski 3-space?