Published 2025 | Version v1

The investigation of some special curves in the pseudo-Galilean 4- space G41

Description

In this paper, we investigate and characterize an arbitrary admissible curve in
terms of its curvature functions in the pseudo-Galilean space G41
. We also give some special
curves in four-dimensional pseudo-Galilean space and their characterizations, such as position
curve, osculating curve, normal curve, rectifying curve, slant helices, and spherical curves.
Moreover, this study provides classifications of admissible curves in G41
. That is, the admissible
rectifying curves lying fully in the G41
 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 G41
. 

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