Constructing Some New Frames and Associated Curves Using the Darboux Vector Fields of the Flc-frame
Year: 2025
Type: article
Abstract: In this paper, we define some new frames called the osculating Flc-frame, the normal Flc-frame, and the rectifying Flc-frame along a polynomial space curve using the Darboux vector of the Flc-frame and obtain the derivative equations according to these frames. Also, some new integral curves called the 〖 d〗_Flc-direction curve, the D ̅_o-direction curve, the D ̅_n-direction curve, and the D ̅_r-direction curve of a polynomial space curve are defined. Later, we give some theorems and results related to these curves.
Source: Journal of Science and Arts
Author: BAHAR UYAR DÜLDÜL
Institution: Yıldız Technical University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4409269336