51 citations · 53 across the 3 of their papers we have counts for
4 papers
Algebraic properties of biperiodic dual Fibonacci quaternions
Fatma Ateş, Ismail Gök, Nejat Ekmekci
The purpose of the paper is to construct a new representation of dual quaternions called biperiodic dual Fibonacci quaternions. These quaternions are originated as a generalizat…
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…