Tubular surfaces associated with framed base curves in Euclidean 3-space

Eren K., YILDIZ Ö. G., Akyiğit M.

Mathematical Methods in the Applied Sciences, vol.45, no.18, pp.12110-12118, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Abstract
  • Volume: 45 Issue: 18
  • Publication Date: 2022
  • Doi Number: 10.1002/mma.7590
  • 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.12110-12118
  • Keywords: asymptotic curve, frame base curve, Gaussian and mean curvatures, geodesic curve, line of curvature, tubular surfaces
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 2021 John Wiley & Sons, Ltd.The aim of this paper is to examine tubular surfaces with framed base curves. We build the structure of the tubular surface which has singular points. In the second section, we give a brief exposition of framed base curves and framed surfaces, respectively. In the third section, our main results are stated and proved. Moreover, in this section, the normal of the tubular surface and its mean and Gauss curvatures are found, and the characterizations of the parameter curves on the surface are given. Finally, we have expressed the tubular surface with a framed base curve with examples.