62 citations · 183 across the 46 of their papers we have counts for
24 papers · 1 filter
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…
On f-Eikonal Helices And f-Eikonal Slant Helices In Riemannian Manifolds
Ali Şenol, Evren Ziplar, Yusuf Yayli
In this paper, we define f-eikonal helix curves and f-eikonal V_{n}-slant helix curves in a n-dimensional Riemannian manifold. Also, we give the definition of harmonic curvature fu…
A new approach on helices in Euclidean n-space
Ali Şenol, Evren Ziplar, Yusuf Yayli +1
In this work, we give some new characterizations for inclined curves and slant helices in n-dimensional Euclidean space E^{n}. Morever, we consider the pre-characterizations about…
Parallel Transport Frame in 4-dimensional Euclidean Space
Fatma Gökçelik, Zehra Bozkurt, İsmail Gök +2
In this work, we give parallel transport frame of a curve and we introduce the relations between the frame and Frenet frame of the curve in 4-dimensional Euclidean space. The relat…
Time-like constant slope surfaces and space-like Bertrand curves in Minkowski 3-space
Murat Babaarslan, Yusuf Yayli
Defining Lorentzian Sabban frame of the unit speed time-like curves on de Sitter 2-space and introducing space-like height function on the unit speed time-like…