Year: 2026
Type: article
Abstract: We explore a type of admissible curves in pseudo-Galilean 3-space $\mathbb{G}^1_3$, called $f$-rectifying curves ($f$ being a non-vanishing smooth real-valued function). In $\mathbb{G}^1_3$, a $f$-rectifying curve is presented as an admissible curve $\alpha$ of class at least $C^4$ such that its rectifying planes (spanned by tangent and binormal vectors) entirely contain its $f$-position field $\alpha_f = \int f d\alpha$. We analyse some geometric features of $f$-rectifying curves in $\mathbb{G}^1_3$ as well as in the equiform geometry of $\mathbb{G}^1_3$.
Source: Ikonion Journal of Mathematics
Author: Sarani Chakraborty
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7168669145