Some characterizations of slant helices in the euclidean space En

Ali A. T., Turgut M.

Hacettepe Journal of Mathematics and Statistics, cilt.39, sa.3, ss.327-336, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 3
  • Basım Tarihi: 2010
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.327-336
  • Anahtar Kelimeler: Euclidean n-space, Frenet equations, Slant helices, Type-2 harmonic curvatures
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.