Quaternionic Bertrand Curves According to Type 2-Quaternionic Frame in R4
Yazarlar (1)
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics | ||
| Dergi ISSN | 1303-5991 Wos Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2022 |
| Cilt / Sayı / Sayfa | 71 / 2 / 395–406 | DOI | 10.31801/cfsuasmas.991631 |
| Makale Linki | https://dergipark.org.tr/en/download/article-file/1959077 | ||
| Özet |
| In this paper, we give some characterization of quaternionic Bertrand curves whose the torsion is non-zero but bitorsion is zero in $mathbb{R}^{4}$ according to Type 2-Quaternionic Frame. One of the most important points in working on quaternionic curves is that given a curve in $mathbb{R}^{4}$, the curve in $mathbb{R}^{3}$ associated with this curve is determined individually. So, we obtain some relationships between quaternionic Bertrand curve $alpha^{(4)}$ in $mathbb{R}^{4}$ and its associated spatial quaternionic curve $alpha$ in $mathbb{R}^{3}$. Also, we support some theorems in the paper by means of an example. |
| Anahtar Kelimeler |
| Quaternions | quaternionic frame | Bertrand curve | Euclidean space |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 2 |
| TRDizin | 2 |
| Google Scholar | 1 |
| Google Scholar | 5 |