Blaschke approach to dual Smarandache curves

KAHRAMAN T., Önder M., UĞURLU H. H.

Journal of Advanced Research in Dynamical and Control Systems, cilt.5, sa.3, ss.13-25, 2013 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 3
  • Basım Tarihi: 2013
  • Dergi Adı: Journal of Advanced Research in Dynamical and Control Systems
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.13-25
  • Anahtar Kelimeler: Blaschke frame, Dual Smarandache curve, Ruled surface
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.