The Fermi derivative in the hypersurfaces
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Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, Fermi derivative and according to the derivative Fermi parallelism and non-rotating frame concepts are given on any hypersurface in En+1. Initially, Fermi derivative and non-rotating concepts are analyzed on any hypersurface in E-4. As an example, S-3 is taken instead of the hypersurface in E-4. Fermi derivative and non-rotating concepts are examined for S-3. Then a correlation is found between Fermi derivative and Levi-Civita derivative of any vector field in E-4. And then the concepts of Fermi derivative are generalized for n > 4 in En+1.
Açıklama
Anahtar Kelimeler
Fermi derivative, Fermi parallelism, non-rotating frame, hypersurface, Levi-Civita connection, Levi-Civita parallel, Frenet frame, Darboux frame, W-curve, curvature, torsion
Kaynak
International Journal of Geometric Methods in Modern Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
12
Sayı
1
