51 citations · 52 across the 3 of their papers we have counts for
4 papers
Characterizations of the Quaternionic Mannheim Curves in E^4
O. Zeki Okuyucu
In [5], Matsuda and Yorozo obtained that Mannheim curves in 4-dimensional Euclidean space. In this study, we define quaternionic Mannheim curves and we give some characterizations…
Bertrand Curves in three Dimensional Lie Groups
O. Zeki Okuyucu, İsmail Gök, Yusuf Yaylı +1
In this paper, we give the defination of harmonic curvature function some special curves such as helix, slant curves, Mannheim curves and Bertrand curves. Then, we recall the chara…
On Mannheim Partner Curves in three Dimensional Lie Groups
İsmail Gök, O. Zeki Okuyucu, Nejat Ekmekci +1
In this paper, we define Mannheim partner curves in a three dimensional Lie group G with a bi-invariant metric. And then the main result in this paper is given as (Theorem 3.3): A…
Slant helices in three dimensional lie groups
O. Zeki Okuyucu, I. Gök, Y. Yayli +1
In this paper, we define slant helices in three dimensional Lie Groups with a bi-invariant metric and obtain a characterization of slant helices. Moreover, we give some relations b…