Framed slant helices in Euclidean 3-space

OKUYUCU O. Z., Canbirdi M.

Advances in Difference Equations, vol.2021, no.1, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2021 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1186/s13662-021-03664-7
  • Journal Name: Advances in Difference Equations
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: Framed curves, General helices, Slant helices, Spherical curves
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 2021, The Author(s).In this paper, we define framed slant helices and give a necessary and sufficient condition for them in three-dimensional Euclidean space. Then, we introduce the spherical images of a framed curve. Also, we examine the relations between a framed slant helix and its spherical images. Moreover, we give an example of a framed slant helix and its spherical images with figures.