Add to ORKGEvery circular helix in ＄E^{3}＄ is a typical example of Bertrand curve. The circular helix is one in a family of special Frenet curves. We prove that no special Frenet curve in ＄E＄￥ ＄(n>4)＄ is a Bertrand curve. Thus the notion of Bertrand curve stands only on ＄E^{￥overline{2}}＄ and ＄E^{3}＄ . In ＄E^{4}＄ , we can show an idea of a generalization of Bertrand curve
Abstract. In this paper, we introduce the notion of Bertrand and Mannheim curve in Galilean space G3...
Abstract In this study, the new characterizations of special curves are investigated without using t...
In this work, we studied the properties of the spherical indicatrices of a Bertrand curve and its ma...
In this article, we give a necessary condition for a $C^\infty$-special Frenet curve in $\mathbb{R}^...
[[abstract]]In an n-dimentional Euclidean space R^n, we prove that if a C^{infinity}-special Frenet ...
Abstract. In [18], L. R. Pears proved that Bertrand curves in En(n> 3) are degenerate curves. Thi...
(c) denote the 3-dimensional space form of index q = 0, 1, and constant curvature c 6 = 0. A curve α...
In this article, we investigate Bertrand curves corresponding to the spherical images of the tangent...
Bertrand curves are a pair of curves that have a common principal normal vector at any point and are...
In this paper, firstly, we define the Bertrand curve of any curve with respect to the vertical, comp...
In differential geometry, the characterizations of curves and corresponding relations between the cu...
A Bertrand curve is a special class of space curves that the principal normal line of the curve and ...
We study cylindrical helices and Bertrand curves as curves on ruled surfaces. Some results in this p...
We obtained a new representation for timelike Bertrand curves and their Bertrand mate in 3-dimension...
Gok, Ismail/0000-0001-8407-133XWOS: 000342655800015COKEN and CIFTCI proved that a null Cartan curve ...
Abstract. In this paper, we introduce the notion of Bertrand and Mannheim curve in Galilean space G3...
Abstract In this study, the new characterizations of special curves are investigated without using t...
In this work, we studied the properties of the spherical indicatrices of a Bertrand curve and its ma...
In this article, we give a necessary condition for a $C^\infty$-special Frenet curve in $\mathbb{R}^...
[[abstract]]In an n-dimentional Euclidean space R^n, we prove that if a C^{infinity}-special Frenet ...
Abstract. In [18], L. R. Pears proved that Bertrand curves in En(n> 3) are degenerate curves. Thi...
(c) denote the 3-dimensional space form of index q = 0, 1, and constant curvature c 6 = 0. A curve α...
In this article, we investigate Bertrand curves corresponding to the spherical images of the tangent...
Bertrand curves are a pair of curves that have a common principal normal vector at any point and are...
In this paper, firstly, we define the Bertrand curve of any curve with respect to the vertical, comp...
In differential geometry, the characterizations of curves and corresponding relations between the cu...
A Bertrand curve is a special class of space curves that the principal normal line of the curve and ...
We study cylindrical helices and Bertrand curves as curves on ruled surfaces. Some results in this p...
We obtained a new representation for timelike Bertrand curves and their Bertrand mate in 3-dimension...
Gok, Ismail/0000-0001-8407-133XWOS: 000342655800015COKEN and CIFTCI proved that a null Cartan curve ...
Abstract. In this paper, we introduce the notion of Bertrand and Mannheim curve in Galilean space G3...
Abstract In this study, the new characterizations of special curves are investigated without using t...
In this work, we studied the properties of the spherical indicatrices of a Bertrand curve and its ma...