ON THE INVARIANTS OF TIME-LIKE DUAL CURVES


Turgut M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.37, sa.2, ss.129-133, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 2
  • Basım Tarihi: 2008
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.129-133
  • Anahtar Kelimeler: Dual numbers, Time-like dual curve, Lorentzian space
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

In this work, for a time-like dual curve in D(1)(3), a system of differential equation is established whose solution gives the components of the position vector on the dual Frenet axis. By means of some special solutions of this system, some characterizations are presented, such as the position vector of a time-like dual curve with constant dual curvature and torsion.