Bertrand Offsets of Ruled Surfaces with Darboux Frame


ŞENTÜRK G. Y. , YÜCE S.

RESULTS IN MATHEMATICS, cilt.72, ss.1151-1159, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 72 Konu: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00025-016-0571-6
  • Dergi Adı: RESULTS IN MATHEMATICS
  • Sayfa Sayısı: ss.1151-1159

Özet

In this study, using Darboux frame {T, g, n} of ruled surface phi(s, v), Bertrand offset phi*(s, v) of ruled surface phi(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 phi and phi*.