Polynomial Parametric Equations of Rectifying Salkowski Curves

Year 2021, Volume: 34 Issue: 1, 211 - 219, 01.03.2021

Beyhan Yılmaz , İsmail Gök , Yusuf Yaylı

https://doi.org/10.35378/gujs.695460

Abstract

The aim of the paper is to find polynomial parametric equations of rectifying Salkowski curves in Minkowski 3-space, via a serial approach. These curves are characterized by according to their curvature; in particular those curves with constant curvature functions and linear harmonic curvature functions are fully characterized. Then, the equations of the rectifying Salkowski curves are obtained as serial solutions of differential equations with third-order polynomial coefficients.

Keywords

Rectifying curve, Salkowski curve, Harmonic curvature

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