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, vol.44, no.9, pp.7463-7470, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Abstract
  • Volume: 44 Issue: 9
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.6267
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: 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
  • Page Numbers: pp.7463-7470
  • Keywords: framed curve, framed surface, singular point, trajectory ruled surface
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 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.