AN EXPLICIT CHARACTERIZATION OF SPHERICAL CURVES ACCORDING TO BISHOP FRAME AND AN APPROXIMATELY SOLUTION

Balki Okullu, PinarKocayigit, HuseyinAgirman Aydin, Tuba2024-10-042024-10-0420190354-98362334-7163https://doi.org/10.2298/TSCI181101049Bhttp://hdl.handle.net/20.500.12403/2961In this paper, spherical curves are studied by using Bishop frame. First, the differential equation characterizing the spherical curves is given. Then, we exhibit that the position vector of a curve which is lying on a sphere satisfies a third-order linear differential equation. Then we solve this linear differential equation by using Bernstein series solution method.eninfo:eu-repo/semantics/openAccessspherical curveBishop frameBernstein series solution methodAN EXPLICIT CHARACTERIZATION OF SPHERICAL CURVES ACCORDING TO BISHOP FRAME AND AN APPROXIMATELY SOLUTIONArticle23S361S37010.2298/TSCI181101049B2-s2.0-85065199974Q3WOS:000465190400036Q3