Position vector of a partially null curve derived from a vector differential equation

YILMAZ S., Özyilmaz E., Turgut M., Nizamoǧlu Ş.

World Academy of Science, Engineering and Technology, cilt.35, ss.1043-1045, 2009 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35
  • Basım Tarihi: 2009
  • Dergi Adı: World Academy of Science, Engineering and Technology
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1043-1045
  • Anahtar Kelimeler: Frenet equations, Minkowski space-time, Partially null curves, Vector differential equation
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, position vector of a partially null unit speed curve with respect to standard frame of Minkowski space-time is studied. First, it is proven that position vector of every partially null unit speed curve satisfies a vector differential equation of fourth order. In terms of solution of the differential equation, position vector of a partially null unit speed curve is expressed.