Characterizations of adjoint curves according to alternative moving frame

A Cakmak, V Şahin - Fundamental Journal of Mathematics and …, 2022 - dergipark.org.tr
In this paper, the adjoint curve is defined by using the alternative moving frame of a unit
speed space curve in 3-dimensional Euclidean space. The relationships between Frenet …

Bishop Frames of Salkowski Curves in E3

SG Mazlum - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 2024 - dergipark.org.tr
In this study, alternative, type-1 Bishop, type-2 Bishop and N-Bishop frames of Salkowski
curves in E3 are calculated. Moreover, curvatures, Darboux and pol vectors of these frames …

AW (k)-Type Curves in Modified Orthogonal Frame

E Damar, BS Baek, N Oğraş, N Yüksel - Türk Doğa ve Fen Dergisi, 2024 - dergipark.org.tr
The goal of this article is to examine AW (k)-type curves in Euclidean 3-space according to a
modified orthogonal frame with the non-zero curvature. Firstly, the relations between the …

Ruled surfaces according to alternative moving frame

B Sahiner - arXiv preprint arXiv:1910.06589, 2019 - arxiv.org
In this paper, we define a new type of ruled surface called ruled surface by using the
alternative frame of a base curve. Then, we study its differential geometric properties such as …

On Bishop Frames of Any Regular Curve in Euclidean 3-Space

SG Mazlum - Afyon Kocatepe Üniversitesi Fen Ve Mühendislik … - dergipark.org.tr
Relationships between type-1 Bishop and Frenet, type-2 Bishop and Frenet, alternative and
Frenet, N-Bishop and alternative frames of any regular curve in Euclidean 3-space are …

Bishop Frames of Salkowski Curves in E3

SG Mazlum - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi - dergipark.org.tr
In this study, alternative, type-1 Bishop, type-2 Bishop and N-Bishop frames of Salkowski
curves in E3 are calculated. Moreover, curvatures, Darboux and pol vectors of these frames …