The Fermi-Walker Derivative in Minkowski Space
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.27, sa.2, ss.1353-1368, 2017 (SCI-Expanded, Scopus)
- 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.