The Fermi derivative in the hypersurfaces

dc.contributor.authorKarakus, Fatma
dc.contributor.authorYayli, Yusuf
dc.date.accessioned2025-03-23T19:31:01Z
dc.date.available2025-03-23T19:31:01Z
dc.date.issued2015
dc.departmentSinop Üniversitesi
dc.description.abstractIn 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.doi10.1142/S0219887815500024
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84945445130
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0219887815500024
dc.identifier.urihttps://hdl.handle.net/11486/5198
dc.identifier.volume12
dc.identifier.wosWOS:000346973100002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Geometric Methods in Modern Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectFermi derivative
dc.subjectFermi parallelism
dc.subjectnon-rotating frame
dc.subjecthypersurface
dc.subjectLevi-Civita connection
dc.subjectLevi-Civita parallel
dc.subjectFrenet frame
dc.subjectDarboux frame
dc.subjectW-curve
dc.subjectcurvature
dc.subjecttorsion
dc.titleThe Fermi derivative in the hypersurfaces
dc.typeArticle

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