Polynomial Parametric Equations of Rectifying Salkowski Curves

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YILMAZ B., GÖK İ., YAYLI Y.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.34, sa.1, ss.211-219, 2021 (ESCI) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.35378/gujs.695460
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: 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)
  • Sayfa Sayıları: ss.211-219
  • Anahtar Kelimeler: Rectifying curve, Salkowski curve, Harmonic curvature, CURVATURE
  • Ankara Üniversitesi Adresli: Evet

Özet

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.