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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 1

Some characterizations of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$

Buddhadev Pal
Akhilesh Yadav
Pages
235–242
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Then we find the distance function and also give the general equations of the curvature and torsion of rectifying general helices in $\mathbb{H}^3(-r)$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the geometry of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$.
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Key Findings & Data:Further we obtain the distance function in terms of arc length when the rectifying curve lying in the upper half plane.
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Conclusion & Impact:Then we find the distance function and also give the general equations of the curvature and torsion of rectifying general helices in $\mathbb{H}^3(-r)$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:rectifying curve · general helix · geodesic

Abstract

In this paper, we study the geometry of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$. Further we obtain the distance function in terms of arc length when the rectifying curve lying in the upper half plane. Then we find the distance function and also give the general equations of the curvature and torsion of rectifying general helices in $\mathbb{H}^3(-r)$.

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Cite This Article

Pal, B., Yadav, A. (2022). Some characterizations of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 1, 235–242. https://ajindex.com/articles/529954

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References (8)

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