Quaternionic $left( 1,3right) -$ Bertrand Curves According to Type 2-Quaternionic Frame in $mathbb{R}^{4}$

Authors : Ferdağ KAHRAMAN AKSOYAK

Pages : 346-355

View : 28 | Download : 11

Publication Date : 2021-10-15

Article Type : Research Paper

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 $insert ignore into journalissuearticles values(1,3);-$Bertrand curve according to Type 2-Quaternionic Frame and obtain some results about these curves.
Keywords : Quaternions, Quaternionic frame, Bertrand curve

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