Polynomial Parametric Equations of Rectifying Salkowski Curves

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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