The Fermi-Walker Derivative and Non-rotating Frame in Dual Space

ŞAHİN T., KARAKUŞ F., YAYLI Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.28, sa.1, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s00006-018-0837-z
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Fermi-Walker derivative, Fermi-Walker transport, Non-rotating frame, Dual curve, Dual space, Darboux vector, Dual Bishop frame
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study, we defined Fermi-Walker derivative in dual space D-3. Fermi-Walker transport, non-rotating frame and Fermi-Walker termed Darboux vector by using Fermi-Walker derivative are given in dual space D-3. Being conditions of Fermi-Walker transport and non-rotating frame are investigated along any dual curve for dual Frenet frame, dual Darboux frame and dual Bishop frame.