On admissible f-rectifying curves in 3D pseudo-Galilean geometry

We explore a type of admissible curves in pseudo-Galilean 3-space G¹₃, called f-rectifying curves (f being a non-vanishing smooth real-valued function). In G¹₃, a f-rectifying curve is presented as an admissible curve α of class at least C⁴ such that its rectifying planes (spanned by tangent and binormal vectors) entirely contain its f-position field αf = ∫ f dα. We analyse some geometric features of f-rectifying curves in G¹₃ as well as in the equiform geometry of G¹₃.