Framed slant helices in Euclidean 3-space

OKUYUCU O. Z., Canbirdi M.

Advances in Difference Equations, cilt.2021, sa.1, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2021 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1186/s13662-021-03664-7
  • Dergi Adı: Advances in Difference Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Framed curves, General helices, Slant helices, Spherical curves
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 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.