The investigation of some special curves in the pseudo-Galilean 4-space $G_{1}^{4} $

Abstract

In this paper, we investigate and characterise an arbitrary admissible curve in terms of its curvature functions in the pseudo-Galilean space $G_{1}^{4}$% . We also give some special curves in four-dimensional pseudo-Galilean space and their characterisations, such as position curve, osculating curve, normal curve, rectifying curve, slant helices, and spherical curves. Moreover, this study provides classifications of admissible curves in $G_{1}^{4}$. That is, the admissible rectifying curves lying fully in the $G_{1}^{4}$ are expressed and given necessary and sufficient conditions for such a curve to be an admissible rectifying curve, osculating curve, normal curve, slant helices and spherical curves in $G_{1}^{4}$.