Finslerian Viewpoint to the Rectifying, Normal and Osculating Curves

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dc.contributor.authorOzdemir, Zehra
dc.contributor.authorAtes, Fatma
dc.contributor.authorEkmekci, F. Nejat
dc.date.accessioned2024-02-23T14:35:24Z
dc.date.available2024-02-23T14:35:24Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThe theory of Finsler metric was introduced by Paul Finsler, in 1918. The author defines this metric using the Minkowski norm instead of the inner product. Therefore, this geometry is a more general metric and includes the Riemannian metric. In the present work, using the Finsler metric, we investigate the position vector of the rectifying, normal and osculating curves in Finslerian 3-space F-3. We obtain the general characterizations of these curves in F-3. Furthermore, we show that rectifying curves are extremal curves derived from the Finslerian spherical curve. We also plotted various examples by using the Randers metrics.en_US
dc.identifier.doi10.36890/IEJG.993188
dc.identifier.endpage38en_US
dc.identifier.issn1307-5624
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85129808520en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage30en_US
dc.identifier.urihttps://doi.org/10.36890/IEJG.993188
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16010
dc.identifier.volume15en_US
dc.identifier.wosWOS:000795585200004en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInt Electronic Journal Geometryen_US
dc.relation.ispartofInternational Electronic Journal Of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSpecial Curvesen_US
dc.subjectFinsler Spaceen_US
dc.subjectRanders Metricen_US
dc.subjectCentrodesen_US
dc.subjectExtremal Curvesen_US
dc.titleFinslerian Viewpoint to the Rectifying, Normal and Osculating Curvesen_US
dc.typeArticleen_US

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