5 citations · 6 across the 6 of their papers we have counts for
6 papers
Geometric Interpretation of det(C^(3),C^(4),C^(5))=0 in E13
Seher Kaya, Ismail Gok, Yusuf Yayli
In this paper, we investigate the tangent indicatrix of the curve C with constant curvature. Tangent indicatrix of the curve C is characterized with det(C^(3),C^(4),C^(5))=0 in Min…
New Associated Curves k-Principle Direction Curves and N_k Slant Helix
Cagla Ramis, Beyhan Uzunoglu, Yusuf Yayli
The Frenet frame is generally known an orthonormal vector frame for curves. But, it does not always meet the needs of curve characterizations. In this study, with the help of assoc…
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…
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,…
The relation between parameter curves and lines of curvature on canal surfaces
Fatih Dogan, Yusuf Yayli
A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) (spine curve) of its center and a radius function r(t). In this paper, we inv…
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…