Family of surface with a common null geodesic

Şaffak G., Kasap E.

International Journal of Physical Sciences, cilt.4, sa.8, ss.428-433, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 8
  • Basım Tarihi: 2009
  • Dergi Adı: International Journal of Physical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.428-433
  • Anahtar Kelimeler: Cartan frame, Common geodesic, Ruled surface, Surface family
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We analyzed the problem of finding a surfaces family through a null curve with Cartan frame. We constructed a differential equation system such that a given null curve is an isogeodesic curve on a surface. In addition, developablity along the common null geodesic of the members of surface family are discussed. The extension to ruled surfaces is also outlined. Finally, we demonstrated some interesting surfaces about subject. © 2009 Academic Journals.