Open AccessCONSTRUCTION OF BINORMAL MOTION AND CHARACTERIZATION OF CURVES ON SURFACE BY SYSTEM OF DIFFERENTIAL EQUATIONS FOR POSITION VECTOR
Author(s) -
Ayşe Yavuz
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.4-a16
Subject(s) - torsion of a curve , mathematics , mathematical analysis , geodesic , differential geometry , position (finance) , curvature , differentiable function , motion (physics) , differential geometry of curves , frenet–serret formulas , characterization (materials science) , geometry , differential equation , center of curvature , mean curvature , physics , ordinary differential equation , classical mechanics , differential algebraic equation , finance , optics , economics
The main purpose of this paper is to investigate unit speed curve with constant geodesic, normal curvature and geodesic torsion of curve on a surface in the Euclidean 3-space. In accordance with this scope, the position vector of a curve is stated by a linear combination of its Darboux Frame with differentiable functions. Some special results have been obtained within the scope of this position curve and differentiable functions. As a physical application of obtained results, differential geometric properties of a surface with binormal motion of a given curve are given with the obtained characterization of the curve.