Bertrand Offsets of Ruled Surfaces with Darboux Frame

Şentürk G. Y., YÜCE S.

Results in Mathematics, cilt.72, sa.3, ss.1151-1159, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00025-016-0571-6
  • Dergi Adı: Results in Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1151-1159
  • Anahtar Kelimeler: Ruled surface, Bertrand, Darboux frame
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this study, using Darboux frame T, g, n of ruled surface φ(s, v) , Bertrand offset φ∗(s, v) of ruled surface φ(s, v) is identified. Characteristic properties of Bertrand mates of ruled surfaces as a striction curve, distribution parameter and orthogonal trajectories are examined according to Darboux frame. We have examined the relations between the distribution parameters of the ruled surfaces which are generated by the Darboux frames vectors of the ruled surfaces φ and φ∗.