Family of surface with a common null geodesic

Şaffak G., Kasap E.

International Journal of Physical Sciences, vol.4, no.8, pp.428-433, 2009 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 4 Issue: 8
  • Publication Date: 2009
  • Journal Name: International Journal of Physical Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.428-433
  • Keywords: Cartan frame, Common geodesic, Ruled surface, Surface family
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.