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

Yıl 2021, Cilt: 9 Sayı: 2, 346 - 355, 15.10.2021

Ferdağ Kahraman Aksoyak

Öz

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.

Anahtar Kelimeler

Quaternions, , Quaternionic frame,, Bertrand curve

Kaynakça

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