Spinor representation of framed Mannheim curves

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Yazici B., İşbİlİr Z., Tosun M.

Turkish Journal of Mathematics, vol.46, no.7, pp.2690-2700, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 7
  • Publication Date: 2022
  • Doi Number: 10.55730/1300-0098.3295
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2690-2700
  • Keywords: Framed curves, Mannheim curves, Spinors
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this paper, we obtain spinor with two complex components representations of Mannheim curves of framed curves. Firstly, we give the spinor formulas of the frame corresponding to framed Mannheim curve. Later, we obtain the spinor formulas of the frame corresponding to framed Mannheim partner curve. Moreover, we explain the relationships between spinors corresponding to framed Mannheim pairs and their geometric interpretations. Finally, we present some geometrical results of spinor representations of framed Mannheim curves.