- Konuralp Journal of Mathematics
- Vol: 9 Issue: 2
- Quaternionic $\left( 1,3\right) -$ Bertrand Curves According to Type 2-Quaternionic Frame in $\mathb...
Quaternionic $\left( 1,3\right) -$ Bertrand Curves According to Type 2-Quaternionic Frame in $\mathbb{R}^{4}$
Authors : Ferdağ Kahraman Aksoyak
Pages : 346-355
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Publication Date : 2021-10-15
Article Type : Research
Abstract :If there exists a quaternionic Bertrand curve in $\mathbb{E}^{4}$, then its torsion or bitorsion vanishes. So we can say that there is no quaternionic Bertrand curves whose torsion and bitorsion are non-zero. Hence by using the method which is given by Matsuda and Yorozu [13], we give the denition of quaternionic $(1,3)-$Bertrand curve according to Type 2-Quaternionic Frame and obtain some results about these curves.Keywords : Quaternions, , Quaternionic frame, , Bertrand curve