In this article, we examine Bertrand curves in E3 and E31 by using the Caputo fractional
derivative which we call α-Bertrand Curves. First, we consider α-Bertrand curves in E3 and …

In this paper, we define the generalized Bertrand curves of non-light-like framed curves in
Lorentz–Minkowski 3-space; their study is essential for understanding many classical and …

Spherical Indicatrix of a New Approach to Bertrand Curves in Euclidean 3-space Page 1
KYUNGPOOK Math. J. 63(2023), 263-285 https://doi.org/10.5666/KMJ.2023.63.2.263 pISSN …

In this paper, we study spacelike Bertrand curves in Minkowski 3-space. According to the
casual character of the principal normal vector, we show that the Bertrand mate curve can be …

In this paper, we consider Cartan null Bertrand curves in Minkowski 3-space. Since the
principal normal vector of a null curve is a spacelike vector, the Bertrand mate curve of a null …

In this study, we give a new curve pair that generalizes some of the famous pairs of curves
as Bertrand and constant torsion curves. This curve pair is defined with the help of a vector …

We consider mixed types of not only regular curves but also curves with singular points in
the Lorentz-Minkowski 3-space. In order to consider mixed type of curves with singular …

In the geometry of curves in E3, if the principal normal vector field of a given space curve ϕ
with non-zero curvatures is the principal normal vector field of another space curve ϕ*, then …

This a paper, a new curve pair is defined that generalizes some pairs of curves well known
as Mannheim and Bertrand curve pairs. A normal curve pair is defined in such a way that a …

In the theory of curves in Euclidean $3 $-space, it is well known that a curve $\beta $ is said
to be a Bertrand curve if for another curve $\beta^{\star} $ there exists a one-to-one …