On the Fermi-Walker derivative and non-rotating frame

Karakuş F., YAYLI Y.

International Journal of Geometric Methods in Modern Physics, cilt.9, sa.8, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 8
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1142/s0219887812500661
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Bishop frame, Darboux frame, Fermi-Walker derivative, Frenet frame, non-rotating frame
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study Fermi-Walker derivative and according to the derivative FermiWalker parallelism and non-rotating frame concepts are given for some frames. First, we get the Frenet frame, the Darboux frame, the Bishop frame for any curve in Euclid space. FermiWalker derivative and non-rotating frame being conditions are analyzed for each of the frames along the curve. Then we proved the Frenet frame is non-rotating frame along the plane curves. Darboux frame which is a non-rotating frame along the line of curvature. Then we proved the Bishop frame is a non-rotating frame along the all curves. © 2012 World Scientific Publishing Company.