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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 1

Ruled surfaces corresponding to hyper-dual curves

Selahattin Aslan(ANKARA UNIVERSITY)0000-0001-5322-3265
Murat Bekar(GAZI UNIVERSITY)0000-0002-0382-430X
Yusuf Yaylı(ANKARA UNIVERSITY)0000-0003-4398-3855
Pages
—
Publication Date
2022-02-14
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AI Summary & Key Takeaways

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

Finally, we give some examples to illustrate the applications of our main results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we give the definition of the concept of unit hyper-dual sphere.
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Key Findings & Data:We take a subset of this sphere and show that each curve on this subset represents two ruled surfaces in three dimensional real vector space such that these ruled surfaces have a common base curve and their rulings are perpendicular.
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Conclusion & Impact:Finally, we give some examples to illustrate the applications of our main results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hyper-dual numbers · Unit hyper-dual sphere · Hyper-dual curves

Abstract

In this paper, we give the definition of the concept of unit hyper-dual sphere. We take a subset of this sphere and show that each curve on this subset represents two ruled surfaces in three dimensional real vector space such that these ruled surfaces have a common base curve and their rulings are perpendicular. Finally, we give some examples to illustrate the applications of our main results.

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Cite This Article

Aslan, S., Bekar, M., Yaylı, Y. (2022). Ruled surfaces corresponding to hyper-dual curves. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 1. https://doi.org/10.15672/hujms.988245

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