Characterizations of timelike slant helices in Minkowski 3-space

GÖK İ., Nurkan S. K., İLARSLAN K., KULA L., Altinok M.

MATHEMATICAL COMMUNICATIONS, cilt.19, sa.1, ss.119-138, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 1
  • Basım Tarihi: 2014
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.119-138
  • Anahtar Kelimeler: Minkowski 3-space, timelike curve, slant helix, general helix, spherical helix, the tangent indicatrix, the principal normal indicatrix, the binormal indicatrix, GENERAL HELICES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski 3-space E-1(3) and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize a timelike curve to be a slant helix by using the Frenet apparatus of a spherical indicatrix of the curve. Also, related examples and their illustrations are given.