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20112014
most citedA new approach on helices in pseudo-Riemannian manifolds

3 citations · 8 across the 14 of their papers we have counts for

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Showing 2012Show all

8 papers · 1 filter

math.DG2012

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…

math.DG2012

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…

math.DG2012

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…

math.DG2012

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…

math.DG2012

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…

math.DG2012★ 1 cited

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,…

math.DG2012

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…

math.DG2012

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…