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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 13 Issue: 1

Quaternionic and Dual Quaternionic Darboux Ruled Surfaces

Abdussamet Çalışkan(ORDU UNIVERSITY)0000-0002-1512-2452
Sayfa
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Yayın Tarihi
2021-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the ruled surface which corresponds to a dual curve drawn by a dual Darboux vector is derived with the help of dual spatial quaternions and dual integral invariants of the ruled surface are obtained.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, firstly the ruled surface drawn by the Darboux vector is expressed as a quaternion.
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Temel Bulgular & Veri:Then, the spatial quaternionic definition of the striction curve is given and the integral invariants of the surface are calculated.
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Sonuç & Katkı:Finally, the ruled surface which corresponds to a dual curve drawn by a dual Darboux vector is derived with the help of dual spatial quaternions and dual integral invariants of the ruled surface are obtained.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Darboux vector · distribution parameter · dual spherical curve

Abstract

In this paper, firstly the ruled surface drawn by the Darboux vector is expressed as a quaternion. Then, the spatial quaternionic definition of the striction curve is given and the integral invariants of the surface are calculated. Finally, the ruled surface which corresponds to a dual curve drawn by a dual Darboux vector is derived with the help of dual spatial quaternions and dual integral invariants of the ruled surface are obtained.

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Bu Makaleye Atıf Yap

Çalışkan, A. (2021). Quaternionic and Dual Quaternionic Darboux Ruled Surfaces. Turkish Journal of Mathematics and Computer Science, Volume: 13 Issue: 1. https://doi.org/10.47000/tjmcs.858793

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Kaynakça (14)

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