The Fermi derivative in the hypersurfaces
dc.contributor.author | Karakus, Fatma | |
dc.contributor.author | Yayli, Yusuf | |
dc.date.accessioned | 2025-03-23T19:31:01Z | |
dc.date.available | 2025-03-23T19:31:01Z | |
dc.date.issued | 2015 | |
dc.department | Sinop Üniversitesi | |
dc.description.abstract | 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. | |
dc.identifier.doi | 10.1142/S0219887815500024 | |
dc.identifier.issn | 0219-8878 | |
dc.identifier.issn | 1793-6977 | |
dc.identifier.issue | 1 | |
dc.identifier.scopus | 2-s2.0-84945445130 | |
dc.identifier.scopusquality | Q2 | |
dc.identifier.uri | https://doi.org/10.1142/S0219887815500024 | |
dc.identifier.uri | https://hdl.handle.net/11486/5198 | |
dc.identifier.volume | 12 | |
dc.identifier.wos | WOS:000346973100002 | |
dc.identifier.wosquality | Q2 | |
dc.indekslendigikaynak | Web of Science | |
dc.indekslendigikaynak | Scopus | |
dc.language.iso | en | |
dc.publisher | World Scientific Publ Co Pte Ltd | |
dc.relation.ispartof | International Journal of Geometric Methods in Modern Physics | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.snmz | KA_WOS_20250323 | |
dc.subject | Fermi derivative | |
dc.subject | Fermi parallelism | |
dc.subject | non-rotating frame | |
dc.subject | hypersurface | |
dc.subject | Levi-Civita connection | |
dc.subject | Levi-Civita parallel | |
dc.subject | Frenet frame | |
dc.subject | Darboux frame | |
dc.subject | W-curve | |
dc.subject | curvature | |
dc.subject | torsion | |
dc.title | The Fermi derivative in the hypersurfaces | |
dc.type | Article |