The Fermi Walker Derivative in Minkowski Space E 3 1
Yazarlar (2)
Prof. Dr. Fatma KARAKUŞ Sinop Üniversitesi, Türkiye
Prof. Dr. Yusuf Yaylı Ankara Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Advances in Applied Clifford Algebras (Q2)
Dergi ISSN 0188-7009 Dergi Bilgileri (2017)
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 06-2017
Cilt / Sayı / Sayfa 27 / 2 / 1353–1368 DOI 10.1007/s00006-016-0719-1
Makale Linki http://link.springer.com/10.1007/s00006-016-0719-1
UAK Araştırma Alanları
Geometri
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.
Anahtar Kelimeler
Darboux vector | Fermi–Walker derivative | Fermi–Walker parallelism | Frenet frame | Non-rotating frame | Spacelike curve | Timelike curve
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 6
Scopus 3
Google Scholar 17
Google Scholar 17
The Fermi Walker Derivative in Minkowski Space E 3 1

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