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.
YAZICI, BAHAR DOĞAN; İŞBİLİR, ZEHRA; and TOSUN, MURAT
"Spinor representation of framed Mannheim curves,"
Turkish Journal of Mathematics: Vol. 46:
7, Article 9.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss7/9