3 citations · 8 across the 14 of their papers we have counts for
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Null eikonal helices and Null eikonal slant helices in the 4-dimensional Lorentzian manifold
Evren Zıplar
In this paper, we define the notion of eikonal helix and eikonal slant helix for null curves in the 4-dimensional Lorentzian manifold M 1 4 and give a characterization for the null…
Eikonal slant helices and eikonal Darboux helices in 3-dimensional pseudo-Riemannian manifolds
Mehmet Önder, Evren Ziplar
In this study, we give definitions and characterizations of eikonal slant helices, eikonal Darboux helices and non-normed eikonal Darboux helices in 3-dimensional pseudo- Riemannia…
Eikonal Slant Helices and Eikonal Darboux Helices In 3-Dimensional Riemannian Manifolds
Mehmet Önder, Evren Ziplar, Onur Kaya
In this study, we give definitions and characterizations of eikonal slant helix curves, eikonal Darboux helices and non-normed eikonal Darboux helices in three dimensional Riemanni…
A new approach on helices in pseudo-Riemannian manifolds
Evren Zıplar, Yusuf Yaylı, İsmail Gök
In this paper, we give a definition of harmonic curvature functions in terms of V_{n} and define a new kind of slant helix which is called V_{n}-slant helix in n-dimensional pseudo…
A new kind of slant helix in Pseudo-Riemannian Manifolds
Evren Zıplar, Yusuf Yaylı, İsmail Gök
In this paper, we define a new kind of slant helix called f-eikonal V_{n}-slant helix in Pseudo- Riemannian manifolds and give the definition of harmonic curvature functions relate…
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…
f-Eikonal helix submanifolds and f-Eikonal helix curves
Evren Ziplar, Ali Senol, Yusuf Yayli
Let M{\subset}\mathbb{R}^{n} be a Riemannian helix submanifold with respect to the unit direction d{\in}\mathbb{R}^{n} and f:M{\to}\mathbb{R} be a eikonal function. We say that M i…
On weak r-Helix submanifolds
Evren Ziplar, Ali şenol, Yusuf Yayli
In this paper, we investigate special curves on a weak r-helix submanifold in Euclidean n-space E^{n}. Also, we give the important relations between weak r-helix submanifolds and t…
On Strong r-Helix Submanifolds and Special Curves
Evren Ziplar, Ali Şenol, Yusuf Yayli
In this paper, we investigate special curves on a strong r-helix submanifold in Euclidean n-space E n. Also, we give the important relations between strong r-helix submanifolds and…
Constant Angle Ruled Surfaces in Euclidean Spaces
Yusuf Yayli, Evren Ziplar
In this paper, we study the special curves and ruled surfaces on helix hypersurface whose tangent planes make a constant angle with a fixed direction in Euclidean n-space Besides,…
Lc helices and harmonic curvatures in space forms (hypersurface)
Ali Senol, Evren Ziplar, Yusuf Yayli
In n-dimensional Euclidean space E^n, harmonic curvatures of a non-degenerate curve defined by Özdamar and Hacisalihoğlu [4]. In this paper, We define a new type of curves called L…
On r-Helix Hypersurfaces
Evren Ziplar, Ali Şenol, Yusuf Yayli
In this paper, we study strong r-helix hypersurfaces and the special curves on these surfaces. Moreover, we investigated the relations between strong r-helix hypersurfaces and the…
On Slant Helices and General Helices in Euclidean n-Space
Yusuf Yayli, Evren Ziplar
In this paper, in Euclidean n -space, we investigate the relation between slant helices and spherical helices. Moreover, in E n, we show that a slant helix and the tangent indicatr…