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, first, an alternative frame and alternative cur# vatures of a space curve are
summarized. Later, a new type of special curve pairs is defined as ϹΝ*# partner curves and …

In this paper, we introduce the involute curve concept according to the modified orthogonal
frame at non-zero points of curvature in the Minkowski 3-space. Besides, the modified frame …

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 …

In this study, we define a new type of partner curves called C-partner curves and give some
theorems characterizing C-partner curves. We obtain that the rectifying planes of C-partner …

In the present paper, a new type of special curve couple which are called WC^{∗}-partner
curves are introduced according to alternative moving frame {N, C, W}. The distance function …

In this study, Bertrand curve concept has been defined according to the modified orthogonal
frame at non-zero points of curvature and torsion in the Minkowski 3-space. Later, the …

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 present paper, we investigate the associated curves of the normal indicatrix of a
regular curve in Euclidean 3− space. We obtain the versions of the Bishop frame rotating …