On the curves lying on parallel surfaces in the Euclidean 3-space E3

Kiziltuǧ S., Tarakcl Ö., YAYLI Y.

Journal of Advanced Research in Dynamical and Control Systems, vol.5, no.3, pp.26-35, 2013 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 3
  • Publication Date: 2013
  • Journal Name: Journal of Advanced Research in Dynamical and Control Systems
  • Journal Indexes: Scopus
  • Page Numbers: pp.26-35
  • Keywords: Darboux frame, Geodesic curvature, Geodesic torsion, Normal curvature, Parallel surface
  • Ankara University Affiliated: Yes

Abstract

In this paper, we study curves on parallel surface. Using the definition of parallel surface we find image of curve which lying on surface. Then we obtain relationships between the geodesic curvature, the normal curvature, the geodesic torsion of curve and its image curve. Besides, we give some characterization for its image curve. © 2013 Institute of Advanced Scientific Research.