On the evolution of framed curves in Euclidean 3-space

YILDIZ Ö. G.

Mathematical Methods in the Applied Sciences, cilt.45, sa.18, ss.12158-12166, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 45 Sayı: 18
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/mma.7633
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.12158-12166
  • Anahtar Kelimeler: evolution, framed curve, inextensible flow, singular points
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 2021 John Wiley & Sons, Ltd.In this paper, we study the evolution of framed curves, which may have singular points. We express flows of framed curves in Euclidean 3-space. We obtain necessary and sufficient conditions as partial differential equations involving the framed curvatures for the inextensible flow of framed curve. Also, we give examples for the evolution equation of framed curvatures.