SOME CHARACTERIZATIONS OF SLANT HELICES IN THE EUCLIDEAN SPACE En

Some Characterizations of Slant Helices in the Euclidean Space En

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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