A characterization of dual Lorentzian spherical curves in the dual Lorentzian space


Ayyildiz N. , Coken A. C. , Yucesan A.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.11, ss.999-1018, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 11 Konu: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.11650/twjm/1500404798
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.999-1018

Özet

A differential equation characterizing the dual Lorentzian spherical curves and an explicit solution of this differential equation are given. Also, without the precondition on the dual torsion is nowhere pure-dual, a necessary and sufficient condition for a curve to be dual Lorentzian spherical is presented. In addition, thanks to dual geodesic trihedron, torsion and curvature of dual Lorentzian curve (x) over cap ((s) over right arrow) have been calculated.