Generalized Fermi-Walker derivative and non-rotating frame

dc.authoridUCAR, Aysenur/0000-0002-7498-6752
dc.contributor.authorUcar, Aysenur
dc.contributor.authorKarakus, Fatma
dc.contributor.authorYayli, Yusuf
dc.date.accessioned2025-03-23T19:31:01Z
dc.date.available2025-03-23T19:31:01Z
dc.date.issued2017
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, generalized Fermi-Walker derivative, generalized Fermi-Walker parallelism and generalized non-rotating frame concepts are given for Frenet frame, Darboux frame and Bishop frame for any curve in Euclidean space. Being generalized, non-rotating frame conditions are analyzed for each frames along the curve. Then we show that Frenet and Darboux frames are generalized non-rotating frames along all curves and also Bishop frame is generalized non-rotating frame along planar curves in Euclidean space.
dc.description.sponsorshipSinop University Scientific Research Projects Coordination Unit [FEF-1901-16-08]
dc.description.sponsorshipThis research has been supported by Sinop University Scientific Research Projects Coordination Unit. Project Number: FEF-1901-16-08.
dc.identifier.doi10.1142/S0219887817501316
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85020172123
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0219887817501316
dc.identifier.urihttps://hdl.handle.net/11486/5197
dc.identifier.volume14
dc.identifier.wosWOS:000407101600016
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.subjectGeneralized Fermi-Walker derivative
dc.subjectgeneralized Fermi-Walker parallelism
dc.subjectgeneralized non-rotating frame
dc.subjectFrenet frame
dc.subjectDarboux frame
dc.subjectBishop frame
dc.titleGeneralized Fermi-Walker derivative and non-rotating frame
dc.typeArticle

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