Polynomial Parametric Equations of Rectifying Salkowski Curves

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YILMAZ B., GÖK İ., YAYLI Y.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.34, no.1, pp.211-219, 2021 (ESCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.35378/gujs.695460
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.211-219
  • Keywords: Rectifying curve, Salkowski curve, Harmonic curvature, CURVATURE
  • Ankara University Affiliated: Yes

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.