In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by considering the Darboux frames of surface curves, we call these curves as Bertrand partner D ‐curves and give the characterizations for these curves by means of the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves.Bu çalışmada, Bertrand partner eğrileri düşüncesi yüzey üzerinde yatan eğriler için ele alınmış ve yüzey eğrilerinin Darboux çatıları dikkate alınarak bu eğriler Bertrand partner D ‐eğrileri olarak adlandırılmıştır. Bu eğrilerin karakterizasyonları, bağlantılı eğrilerin geodezik eğriliklerine, normal eğriliklerine ve geodezik burulmalarına göre verilmiştir.
In differential geometry, the characterizations of curves and corresponding relations between the cu...
International audienceIn 1872, G. Darboux defined a family of curves on surfaces of $\mathbb{R}^3$ w...
Abstract. In [18], L. R. Pears proved that Bertrand curves in En(n> 3) are degenerate curves. Thi...
In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by ...
Abstract. In this paper, we consider the idea of Bertrand curves for curves lying on surfaces in the...
In this paper, we consider the idea of Mannheim partner curves for curves lying on surfaces. By cons...
In this paper, let (α,α∗) be Bertrand curve pair, when the unit Darboux vector of the α∗ curve are t...
In this paper, we establish the necessary and sufficient conditions to parameterize a surface family...
A Bertrand curve is a special class of space curves that the principal normal line of the curve and ...
(c) denote the 3-dimensional space form of index q = 0, 1, and constant curvature c 6 = 0. A curve α...
We study cylindrical helices and Bertrand curves as curves on ruled surfaces. Some results in this p...
International audienceIn 1872, Gaston Darboux defined a family of curves on surfaces in the 3-dimens...
We present a new class of integrable surfaces associated with Bertrand curves. These surfaces are fo...
In this article, we investigate Bertrand curves corresponding to the spherical images of the tangent...
We dene a Bertrand-B curve in Riemannian manifold M such that thereexists an isometry \phi of M, tha...
In differential geometry, the characterizations of curves and corresponding relations between the cu...
International audienceIn 1872, G. Darboux defined a family of curves on surfaces of $\mathbb{R}^3$ w...
Abstract. In [18], L. R. Pears proved that Bertrand curves in En(n> 3) are degenerate curves. Thi...
In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by ...
Abstract. In this paper, we consider the idea of Bertrand curves for curves lying on surfaces in the...
In this paper, we consider the idea of Mannheim partner curves for curves lying on surfaces. By cons...
In this paper, let (α,α∗) be Bertrand curve pair, when the unit Darboux vector of the α∗ curve are t...
In this paper, we establish the necessary and sufficient conditions to parameterize a surface family...
A Bertrand curve is a special class of space curves that the principal normal line of the curve and ...
(c) denote the 3-dimensional space form of index q = 0, 1, and constant curvature c 6 = 0. A curve α...
We study cylindrical helices and Bertrand curves as curves on ruled surfaces. Some results in this p...
International audienceIn 1872, Gaston Darboux defined a family of curves on surfaces in the 3-dimens...
We present a new class of integrable surfaces associated with Bertrand curves. These surfaces are fo...
In this article, we investigate Bertrand curves corresponding to the spherical images of the tangent...
We dene a Bertrand-B curve in Riemannian manifold M such that thereexists an isometry \phi of M, tha...
In differential geometry, the characterizations of curves and corresponding relations between the cu...
International audienceIn 1872, G. Darboux defined a family of curves on surfaces of $\mathbb{R}^3$ w...
Abstract. In [18], L. R. Pears proved that Bertrand curves in En(n> 3) are degenerate curves. Thi...