On the quaternionic Bertrand curves of AW k -type in Euclidean space E³
Journal of Advanced Mathematics and Mathematics Education, cilt.2, sa.3, ss.1-11, 2019 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2 Sayı: 3
- Basım Tarihi: 2019
- Dergi Adı: Journal of Advanced Mathematics and Mathematics Education
- Sayfa Sayıları: ss.1-11
- Erzincan Binali Yıldırım Üniversitesi Adresli: Evet
Özet
In this paper, We consider that the curvature conditions of AW k -type 1 ≤k≤ 3 quaternioniccurves in Euclidean space E3and investigates quaternionic Bertrand curves α : I → Q with k 6= 0and r 6= 0. Besides, we show that quaternionic Bertrand curves to be AW 2 -type and AW 3 -typequaternionic curves in E. But it is shown that there is no such a quaternionic Bertrand curve ofAW 1 -type