Hyperbolic Spinor Representations of Non-Null Framed Curves

İşbilir Z., Doğan Yazıcı B., Güner M.

Advances in Applied Clifford Algebras, vol.36, no.1, 2026 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.1007/s00006-025-01425-3
  • Journal Name: Advances in Applied Clifford Algebras
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, MathSciNet, zbMATH
  • Keywords: Adapted framed frames, Hyperbolic spinors, Spacelike framed curves, Timelike framed curves
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this paper, we intend to bring together the hyperbolic spinors, which are useful frameworks from mathematics to physics, and non-null framed curves in Minkowski 3-space R13, which are new type attractive frames and a very crucial issue for singularity theory especially. First, we obtain new adapted frames for framed curves in R13. Then, we investigate the hyperbolic spinor representations of non-null framed curves of the general and adapted frames. Also, we find some geometric results and interpretations with respect to them, and we obtain illustrative and numerical examples with figures in order to support the given theorems and results.