The spinor representations of framed Bertrand curves

İşbilir Z., Yazıcı B., Tosun M.

Filomat, vol.37, no.9, pp.2831-2843, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 9
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2309831i
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2831-2843
  • Keywords: Bertrand curves, framed curves, spinors
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this study, we intend to examine the framed Bertrand curves in three-dimensional Euclidean space E3 by using the spinors, which have a fundamental place and importance in different disciplines from mathematics to physics. For this purpose, we investigate the spinor representations of framed Bertrand mates in E3. Additionally, we present some geometric results and interpretations. Then, we construct numerical examples with illustrative figures in order to support the given materials.