Journal Article

·2025 OPEN ACCESS

CONSTRUCTING SOME NEW FRAMES AND ASSOCIATED CURVES USING THE DARBOUX VECTOR FIELDS OF THE FLC-FRAME

Bahar Uyar Düldül YTU

Journal of Science and Arts

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.

Keywords

Frame (networking) Vector (molecular biology) Vector field Mathematics Pure mathematics Computer science Algebra over a field Geometry Biology Genetics Telecommunications

Subject Areas

Advanced Numerical Analysis Techniques ·Computational Mechanics ·Physical Sciences
Vibration and Dynamic Analysis ·Control and Systems Engineering ·Physical Sciences
Dynamics and Control of Mechanical Systems ·Control and Systems Engineering ·Physical Sciences