Characterizations of slant helices in Euclidean 3-space

Kula L., Ekmekci N., YAYLI Y., Ilarslan K.

Turkish Journal of Mathematics, cilt.34, sa.2, ss.261-274, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.3906/mat-0809-17
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.261-274
  • Anahtar Kelimeler: Genaral helix, Principal normal indicatrix and binormal indicatrix, Slant helix, Spherical helix, Tangent indicatrix
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we investigate the relations between a general helix and a slant helix. Moreover, we obtain some differential equations which they are characterizations for a space curve to be a slant helix. Also, we obtain the slant helix equations and its Frenet aparatus. © TÜBİTAK.