Frenet frames and invariants of timelike ruled surfaces

Önder M., UĞURLU H. H.

Ain Shams Engineering Journal, cilt.4, sa.3, ss.507-513, 2013 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.asej.2012.10.003
  • Dergi Adı: Ain Shams Engineering Journal
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.507-513
  • Anahtar Kelimeler: Minkowski 3-space, Timelike ruled surface, Curvatures
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame. We define instantaneous rotation vectors of the Frenet frames of timelike ruled surfaces. Also we prove the Chasles Theorem for timelike ruled surfaces. © 2012 Ain Shams University. Production and hosting by Elsevier B.V. All rights reserved.