- Hacettepe Journal of Mathematics and Statistics
- Vol: 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. Ali, Melih Turgut
Pages : 327-336
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Publication Date : 2010-03-01
Article Type : Research
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