On the Surface the Fermi-Walker Derivative in Minkowski 3-Space

KARAKUŞ F., YAYLI Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.26, sa.2, ss.613-624, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00006-015-0618-x
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.613-624
  • Anahtar Kelimeler: Fermi-Walker derivative, Fermi-Walker parallelism, Non-rotating frame, Spacelike curve, Spacelike surface, Timelike curve, Timelike surface, Darboux frame, Darboux vector
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper Fermi-Walker derivative and Fermi-Walker parallelism and non-rotating frame concepts are given along the curve lying on the spacelike surface and the timelike surface in Minkowski 3-space. First, we consider a curve lying on the spacelike surface and investigate the Fermi-Walker derivative along the curve. The concepts which Fermi-Walker derivative and its theorems are analyzed along the curve lying on the spacelike surface in Minkowski 3-space. And then we consider a curve lying on the timelike surface and investigate the Fermi-Walker derivative along the curve.