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Quaternionic Bertrand Curves According to Type 2-Quaternionic Frame in R4      
Yazarlar
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK Prof. Dr. Ferdağ KAHRAMAN AKSOYAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Dergi ISSN 1303-5991
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 01-2022
Cilt No 71
Sayı 2
Sayfalar 395 / 406
Doi Numarası 10.31801/cfsuasmas.991631
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 1
Quaternionic Bertrand Curves According to Type 2-Quaternionic Frame in R4

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