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

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

TAIWANESE JOURNAL OF MATHEMATICS, cilt.11, sa.4, ss.999-1018, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.11650/twjm/1500404798
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.999-1018
  • Anahtar Kelimeler: dual Lorentzian space, dual Lorentzian spherical curve, spacelike-timelike curve, Frenet vectors, EXPLICIT CHARACTERIZATION
  • Akdeniz Üniversitesi Adresli: Hayır

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.