arXiv subjects
Publications and source records attributed to Levent Kula.
In this paper, we study the position vectors of rectifying slant helices in $E^3$. First, we have found the general equations of the curvature and the torsion of rectifying slant helices. After that, we have constructed a second order linear differential equation and by solving the equation, we have obtained a family of rectifying slant helices which lie on cones.
In this paper, we investigate spacelike slant helix in $H_{0}^{2}$ and $S_{1}^{2}$ and we obtain parametric equation of spherical slant helix in $H_{0}^{2}$ and $S_{1}^{2}$. Also related examples and their illustrations are given.
In this paper, we investigate timelike slant helix in $S_{1}^{2}$ and we obtain parametric equation of timelike slant helix in $S_{1}^{2}$. Also related examples and their illustrations are given.
In this paper, we are investigating that under which conditions of the geodesic curvature of unit speed curve $\gamma$ that lies on $S_1^2$ or $H_0^2$, the curve $\alpha$ which is obtained by using $\gamma$, is a spherical helix or slant helix in Minkowski space.
In this paper, we are investigating that under which conditions of the geodesic curvature of unit speed curve gamma that lies on the unit sphere, the curve c which is obtained by using gamma, is a spherical helix or slant helix.
In this paper we consider the spherical slant helices in $R^3$. More- over, we show how could be obtained to a spherical slant helix and we give some spherical slant helix examples in Euclidean 3-space.