The spinor representations of framed Bertrand curves

İşbilir Z., Yazıcı B., Tosun M.

Filomat, cilt.37, sa.9, ss.2831-2843, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 9
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2309831i
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2831-2843
  • Anahtar Kelimeler: Bertrand curves, framed curves, spinors
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

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.