On the trajectory ruled surfaces of framed base curves in the Euclidean space

YILDIZ Ö. G., Akyiğit M., Tosun M.

Mathematical Methods in the Applied Sciences, cilt.44, sa.9, ss.7463-7470, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 44 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.6267
  • 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.7463-7470
  • Anahtar Kelimeler: framed curve, framed surface, singular point, trajectory ruled surface
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 2020 John Wiley & Sons, Ltd.In this paper, we study trajectory ruled surface of a curve with singular points in the Euclidean 3-space as an application of singularity theory of a space curve with singular points. By considering notion of framed curve, we investigate the trajectory ruled surface and give some results about invariants of these surfaces. Then, we give some examples of trajectory ruled surfaces. Moreover, we determine local diffeomorphic image of these surfaces.