Blaschke approach to dual Smarandache curves

KAHRAMAN T., Önder M., UĞURLU H. H.

Journal of Advanced Research in Dynamical and Control Systems, vol.5, no.3, pp.13-25, 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.13-25
  • Keywords: Blaschke frame, Dual Smarandache curve, Ruled surface
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we give the definition of dual Smarandache curves on dual unit sphere ~S2 according to Blaschke frame. We obtain the relationships between Blaschke frames, invariants and elements of curvature of a dual curve α̃ and its dual Smarandache b̃ij-curves (1 ≤ i, j ≤ 3). Furthermore, we show that a dual curve α̃ and its dual Smarandache b̃13-curve forms a Bertrand offset. © 2013 Institute of Advanced Scientific Research.