Some characterizations of Bertrand offsets of timelike ruled surfaces

Önder M.

Journal of Advanced Research in Dynamical and Control Systems, cilt.3, sa.3, ss.21-35, 2012 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3 Sayı: 3
  • Basım Tarihi: 2012
  • Dergi Adı: Journal of Advanced Research in Dynamical and Control Systems
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.21-35
  • Anahtar Kelimeler: Bertrand offset, Dual geodesic trihedron, Timelike ruled surface
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we study Bertrand offsets of timelike ruled surface by considering dual geodesic trihedron (dual Darboux frame) of the timelike ruled surfaces. We give the relationships between invariants of a timelike ruled surface and its Bertrand offset. Furthermore, we obtain conditions for these surface offsets to be developable. © 2011 Institute of Advanced Scientic Research.