Quaternionic (1,3)-Bertrand Curves According to Type 2-Quaternionic Frame in R^4
Differential Geometry
2021-01-22 v1
Abstract
If there exists a quaternionic Bertrand curve in E4, 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 definition of quaternionic (1,3)-Bertrand curve according to Type 2-Quaternionic Frame and obtain some results about these curves.
Cite
@article{arxiv.2101.08564,
title = {Quaternionic (1,3)-Bertrand Curves According to Type 2-Quaternionic Frame in R^4},
author = {Ferdağ Kahraman Aksoyak},
journal= {arXiv preprint arXiv:2101.08564},
year = {2021}
}