Integral invariants of Mannheim offsets of ruled surfaces

Şentürk G. Y., Yüce S., Kasap E.

Applied Mathematics E - Notes, cilt.16, ss.198-209, 2016 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16
  • Basım Tarihi: 2016
  • Dergi Adı: Applied Mathematics E - Notes
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.198-209
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this study, we identify the instantaneous Pfaffian vector of the closed motion de.ned along the striction curve of the ruled surface φ* which is a Mannheim offset of closed ruled surface φ in E3. Using this vector, we get the Steiner rotation vector and the Steiner translation vector of this motion and give new characteristic results about the pitch and the angle of the pitch which are the integral invariants of Mannheim offsets of ruled surface.