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Journals / Ikonion Journal of Mathematics / 2026 / Volume: 8 Issue: 1

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

Sarani Chakraborty(Sukanta Mahavidyalaya)0000-0003-0359-3713
Pages
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Publication Date
2026-07-16
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We analyse some geometric features of $f$-rectifying curves in $\mathbb{G}^1_3$ as well as in the equiform geometry of $\mathbb{G}^1_3$.

📌 3 Key Takeaways

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Objective & Hypothesis: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).
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Key Findings & Data: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 $\alpha_f = \int f d\alpha$.
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Conclusion & Impact:We analyse some geometric features of $f$-rectifying curves in $\mathbb{G}^1_3$ as well as in the equiform geometry of $\mathbb{G}^1_3$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Pseudo-Galilean geometry · admissible curve · $f$-rectifying curve

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 $\mathbb{G}^1_3$.

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Cite This Article

Chakraborty, S. (2026). On admissible $f$-rectifying curves in 3D pseudo-Galilean geometry. Ikonion Journal of Mathematics, Volume: 8 Issue: 1. https://doi.org/10.54286/ikjm.1879203

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