62 citations · 183 across the 46 of their papers we have counts for
12 papers · 1 filter
A new Approach for Magnetic Curves in 3D Riemannian Manifolds
Zehra Bozkurt, Ismail Gök, Yusuf Yaylı +1
A magnetic field is defined by the property that its divergence is zero in a three dimensional oriented Riemannian manifold. Each magnetic field generates a magnetic flow whose tra…
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…
Prolongations of Lie Algebra Representations
Hulya Kadioglu, Erdogan Esin, Yusuf Yayli
In this paper, we present a study on the prolongations of representations of Lie algebras. We show that a tangent bundle of a given Lie algebra attains a Lie algebra structure. The…
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…
The Helix Relation Between Two Curves
İlkay Arslan Güven, Yusuf Yaylı
In this study, we give the relation of being general helix and slant helix of two curves by using the equation between them. Also we find some results and express the characterizat…
Boost Invariant Surfaces with Pointwise 1-Type Gauss Map in Minkowski 4-Space E4-1
Ferdag Kahraman Aksoyak, Yusuf Yayli
In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space E41. We give necessary and sufficient condition for flat spacel…