Spinor representation of framed Mannheim curves

Authors

BAHAR DOĞAN YAZICI
ZEHRA İŞBİLİR
MURAT TOSUN

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.

DOI

10.55730/1300-0098.3295

Keywords

Spinors, Mannheim curves, framed curves

First Page

2690

Last Page

2700

Recommended Citation

YAZICI, B. D, İŞBİLİR, Z, & TOSUN, M (2022). Spinor representation of framed Mannheim curves. Turkish Journal of Mathematics 46 (7): 2690-2700. https://doi.org/10.55730/1300-0098.3295