Published January 1, 2010 | Version v1
Journal article Open

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

  • 1. Al Azhar Univ, Fac Sci, Dept Math, Nasr City 11448, Cairo, Egypt
  • 2. Dokuz Eylul Univ, Buca Educ Fac, Dept Math, TR-35160 Izmir, Turkey

Description

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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