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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 74 Issue: 3

Quaternionic Sabban frame in $\mathbb{R}^{3}$ and $\mathbb{R}^{4}$

Ferdağ Kahraman Aksoyak(KIRŞEHİR AHİ EVRAN ÜNİVERSİTESİ)0000-0003-4633-034X
Sayfa
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Yayın Tarihi
2025-09-23
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we support the theory in the paper with some examples.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we first reconsider Sabban frame of curves on $2-$sphere $S^{2}$ in $\mathbb{R}^{3}$ with the help of the properties of quaternion algebra and then, we define two different types of quaternionic Sabban frame of the curves on $3$-sphere $S^{3}$ in $\mathbb{R}^{4}$.
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Temel Bulgular & Veri:In this paper, we first reconsider Sabban frame of curves on $2-$sphere $S^{2}$ in $\mathbb{R}^{3}$ with the help of the properties of quaternion algebra and then, we define two different types of quaternionic Sabban frame of the curves on $3$-sphere $S^{3}$ in $\mathbb{R}^{4}$.
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Sonuç & Katkı:Also, we support the theory in the paper with some examples.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quaternions · quaternionic frame · Sabban frame

Abstract

In this paper, we first reconsider Sabban frame of curves on $2-$sphere $S^{2}$ in $\mathbb{R}^{3}$ with the help of the properties of quaternion algebra and then, we define two different types of quaternionic Sabban frame of the curves on $3$-sphere $S^{3}$ in $\mathbb{R}^{4}$. Also, we support the theory in the paper with some examples.

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Bu Makaleye Atıf Yap

Aksoyak, F. K. (2025). Quaternionic Sabban frame in $\mathbb{R}^{3}$ and $\mathbb{R}^{4}$. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 3. https://doi.org/10.31801/cfsuasmas.1650280

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Kaynakça (27)

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