Framed normal curves in Euclidean space

B. Doğan Yazici, S. Özkaldi Karakuş, M. Tosun

A normal curve is a space curves which the position vector always lies in their normal plane. In this paper, we define framed normal curves and Frenet-type framed normal curves in Euclidean space. A framed base curve is a smooth curve with a moving frame which may have singular point [3]. We investigate the characterization of framed normal curves and reveal the relationships between framed normal curves and framed spherical curves. 

Tbilisi Mathematical Journal, Special Issue (IECMSA-2019), pp. 27-37