Characterizations of slant helices in Euclidean 3-space

Authors: LEVENT KULA, NEJAT EKMEKCİ, YUSUF YAYLI, KAZIM İLARSLAN

Abstract: In this paper we investigate the relations between a general helix and a slant helix. Moreover, we obtain some differential equations which they are characterizations for a space curve to be a slant helix. Also, we obtain the slant helix equations and its Frenet aparatus.

Keywords: Slant helix, genaral helix, spherical helix, tangent indicatrix, principal normal indicatrix and binormal indicatrix.

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