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.

Keywords: Spinors, Mannheim curves, framed curves

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