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SOME CHARACTERIZATIONS OF SLANT HELICES IN THE EUCLIDEAN SPACE E-n
Journal article   Peer reviewed

SOME CHARACTERIZATIONS OF SLANT HELICES IN THE EUCLIDEAN SPACE E-n

Ahmad T. Ali and Melih Turgut
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, Vol.39(3), pp.327-336
01/09/2010

Abstract

Mathematics Physical Sciences Science & Technology Statistics & Probability
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.

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