On the quaternionic Bertrand curves of AW k -type in Euclidean space E³

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Atıf İçin Kopyala

Kızıltuğ S., Mumcu G.

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