The Fermi Derivative in the Hypersurfaces
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 (2015) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2015 |
| Cilt / Sayı / Sayfa | 12 / 1 / 1550002–1550014 | DOI | 10.1142/S0219887815500024 |
| Makale Linki | http://www.worldscientific.com/doi/abs/10.1142/S0219887815500024 | ||
| UAK Araştırma Alanları |
Geometri
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| 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 E4. As an example, S3 is taken instead of the hypersurface in E4. Fermi derivative and non-rotating concepts are examined for S3. Then a correlation is found between Fermi derivative and Levi-Civita derivative of any vector field in E4. And then the concepts of Fermi derivative are generalized for n > 4 in En+1. |
| Anahtar Kelimeler |
| curvature | Darboux frame | Fermi derivative | Fermi parallelism | Frénet frame | hypersurface | Levi-Civita connection | Levi-Civita parallel | non-rotating frame | torsion | W-curve |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 3 |
| Scopus | 3 |
| Google Scholar | 12 |