51 citations · 58 across the 10 of their papers we have counts for
12 papers
Pedal curves of hyperbolic frontals and their singularities
O. Ogulcan Tuncer, Ismail Gok
This paper introduces pedal curves of spacelike frontals in the hyperbolic 2-space. We mainly investigate the singularities of these hyperbolic pedal curves of spacelike frontals f…
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…
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…
A New Approach on Curves of Constant Precession
Beyhan Uzunoglu, Ismail Gok, Yusuf Yayli
In this paper, we investigate a curve whose spherical image the tangent indicatrix and binormal indicatrix is slant helix and called it as a slant helix. We obtain that the spheric…
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…
Locus of the centers of Meusnier spheres in Euclidean 3-space
Beyhan Uzunoglu
In this study, we investigate the locus of the centers of the Meusnier spheres. Just as focal curve is the locus of the centers of the osculating spheres, we investigate the geomet…