The Fermi-Walker Derivative in Minkowski Space

KARAKUŞ F., YAYLI Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.27, sa.2, ss.1353-1368, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00006-016-0719-1
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1353-1368
  • Anahtar Kelimeler: Fermi-Walker derivative, Fermi-Walker parallelism, Non-rotating frame, Spacelike curve, Timelike curve, Frenet frame, Darboux vector, CURVES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study Fermi-Walker derivative, Fermi-Walker parallelism, non-rotating frame, Fermi-Walker terms Darboux vector concepts are given for Minkowski 3-space . First, we get any spacelike curve with a spacelike or timelike principal normal and any vector field along the curve in Minkowski 3-space . Fermi-Walker derivative and Fermi-Walker parallelism are analyzed for any spacelike curve with a spacelike or timelike principal normal in Minkowski 3-space and the necessary conditions to be Fermi-Walker parallel are explained. Then the necessary definitions, concepts and theorems are analyzed about Fermi-Walker derivative for any spacelike curve with a lightlike(null) principal normal. And then, in Minkowski 3-space Fermi-Walker derivative is analyzed for any timelike curves.