We study cylindrical helices and Bertrand curves as curves on ruled surfaces. Some results in this paper clarify that the cylindrical helix is related to the Gaussian curvature and the Bertrand curve is related to the mean curvature of the ruled surface. We also study the singularities of the principal normal surfaces of generic curves
In this paper, normal ruled surface of general helices in the Sol3 are studied. Also, explicit param...
In this paper, we study strong r-helix hypersurfaces and the special curves on these surfaces. Moreo...
Abstract. In 3-dimensional Euclidean space, the geometric fig-ures of a regular curve are completely...
We study generic properties of cylindrical helices and Bertrand curves as applications of singularit...
In this article, we investigate Bertrand curves corresponding to the spherical images of the tangent...
Abstract In this study, the new characterizations of special curves are investigated without using t...
In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space E3...
In this paper, a family of ruled surfaces generated by some special curves using a Frenet frame of t...
The relationships between certain families of special curves, including the general helices, slant h...
AbstractIn this paper, a family of ruled surfaces generated by some special curves using a Frenet fr...
(c) denote the 3-dimensional space form of index q = 0, 1, and constant curvature c 6 = 0. A curve α...
We define new special curves in Euclidean 3-space which we call slant helices and conical geodesic c...
We dene new special curves in Euclidean 3-space which we call slant helices and conical geodesic cur...
Abstract. In this paper, we consider the idea of Bertrand curves for curves lying on surfaces in the...
Every circular helix in ＄E^{3}＄ is a typical example of Bertrand curve. The circular helix is one in...
In this paper, normal ruled surface of general helices in the Sol3 are studied. Also, explicit param...
In this paper, we study strong r-helix hypersurfaces and the special curves on these surfaces. Moreo...
Abstract. In 3-dimensional Euclidean space, the geometric fig-ures of a regular curve are completely...
We study generic properties of cylindrical helices and Bertrand curves as applications of singularit...
In this article, we investigate Bertrand curves corresponding to the spherical images of the tangent...
Abstract In this study, the new characterizations of special curves are investigated without using t...
In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space E3...
In this paper, a family of ruled surfaces generated by some special curves using a Frenet frame of t...
The relationships between certain families of special curves, including the general helices, slant h...
AbstractIn this paper, a family of ruled surfaces generated by some special curves using a Frenet fr...
(c) denote the 3-dimensional space form of index q = 0, 1, and constant curvature c 6 = 0. A curve α...
We define new special curves in Euclidean 3-space which we call slant helices and conical geodesic c...
We dene new special curves in Euclidean 3-space which we call slant helices and conical geodesic cur...
Abstract. In this paper, we consider the idea of Bertrand curves for curves lying on surfaces in the...
Every circular helix in ＄E^{3}＄ is a typical example of Bertrand curve. The circular helix is one in...
In this paper, normal ruled surface of general helices in the Sol3 are studied. Also, explicit param...
In this paper, we study strong r-helix hypersurfaces and the special curves on these surfaces. Moreo...
Abstract. In 3-dimensional Euclidean space, the geometric fig-ures of a regular curve are completely...
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