The Fermi Walker Derivative in Lie Groups
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 International Journal of Geometric Methods in Modern Physics (Q4)
Dergi ISSN 0219-8878 Dergi Bilgileri (2013)
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 03-2013
Cilt / Sayı / Sayfa 10 / 7 / 1320011–1320021 DOI 10.1142/S0219887813200119
Makale Linki https://www.worldscientific.com/doi/abs/10.1142/S0219887813200119
UAK Araştırma Alanları
Geometri
Özet
In this study, Fermi--Walker derivative, Fermi--Walker parallelism, non-rotating frame, Fermi--Walker termed Darboux vector concepts are given for Lie groups in E4. First, we get any Frénet curve and any vector field along the Frénet curve in a Lie group. Then, the Fermi--Walker derivative is defined for the Lie group. Fermi--Walker derivative and Fermi--Walker parallelism are analyzed in Lie groups. Finally, the necessary conditions for Fermi--Walker parallelism are explained.
Anahtar Kelimeler
Darboux vector | Fermi-Walker derivative | Fermi-Walker parallelism | Frénet curve | Frénet frame | Lie group | non-rotating frame
Science Direct
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 5
Scopus 5
Google Scholar 11
The Fermi Walker Derivative in Lie Groups

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