Bertrand curves of AW(k)-type in three dimensional Lie groups
Abstract
In this paper, we consider curves of AW(k)-type (1 ≤ k ≤ 3) in Three Dimensional Lie Groups. We give harmonic curvature conditions of AW(k)-type curves. Furthermore, we investigate that under what conditions AW(k)-type curves are helix. Besides, considering AW(k)-type curves, we investigate Bertrand curves and we show that there are Bertrand curves of AW(2), AW(3) and weak AW(2)−types.
Copyright © 2017 Sezai KiziltuÄŸ, Sezer Çakal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. KiziltuÄŸ, S. Çakal, Bertrand curves of AW(k)-type in three dimensional Lie groups, J. Math. Comput. Sci. 7 (2017), 806–820.
BibTeX
@article{KiziltuÄŸ2017,
author = {KiziltuÄŸ, Sezai and Çakal, Sezer},
title = {Bertrand curves of AW(k)-type in three dimensional Lie groups},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {806--820},
doi = {}
}