Some Characterizations of Slant Helices in the Euclidean Space En

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Hacettepe Journal of Mathematics and Statistics
Volume:39 Issue:3
Some Characterizations of Slant Helices in the Euclidean Space En

Some Characterizations of Slant Helices in the Euclidean Space En

Authors : Ahmad T ALİ, Melih TURGUT

Pages : 327-336

View : 19 | Download : 9

Publication Date : 2010-03-01

Article Type : Research Paper

Abstract :In this work, the notion of a slant helix is extended to the space En First, we introduce the type-2 harmonic curvatures of a regular curve. Thereafter, by using this, we present some necessary and sufficient conditions for a curve to be a slant helix in Euclidean n-space. We also express some integral characterizations of such curves in terms of the curvature functions. Finally, we give some characterizations of slant helices in terms of type-2 harmonic curvatures.
Keywords : Euclidean n space, Frenet equations, Slant helices, Type 2 Harmonic Curvatures, 2000 AMS Classification 53 A 04

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