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Dergiler / 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
Sayfa
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Yayın Tarihi
2022-02-14
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we give the definition of the concept of unit hyper-dual sphere.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Finally, we give some examples to illustrate the applications of our main results.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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