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dc.contributor.authorDüldül, Mustafa
dc.contributor.authorUyar Düldül, Bahar
dc.contributor.authorKuruoğlu, Nuri
dc.contributor.authorÖzdamar, Ertuğrul
dc.date.accessioned2019-02-01T14:52:52Z
dc.date.available2019-02-01T14:52:52Z
dc.date.issued2017-11-23
dc.identifier.issn1303-6149
dc.identifier.issn1300-0098
dc.identifier.urihttp://hdl.handle.net/11363/1104
dc.description.abstractIn this paper, by considering a Frenet curve lying on an oriented hypersurface, we extend the Darboux frame field into Euclidean 4-space E 4 . Depending on the linear independency of the curvature vector with the hypersurface’s normal, we obtain two cases for this extension. For each case, we obtain some geometrical meanings of new invariants along the curve on the hypersurface. We also give the relationships between the Frenet frame curvatures and Darboux frame curvatures in E 4 . Finally, we compute the expressions of the new invariants of a Frenet curve lying on an implicit hypersurface.en_US
dc.language.isoengen_US
dc.publisherTÜBİTAKen_US
dc.relation.isversionof10.3906/mat-1604-56en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectResearch Subject Categories::TECHNOLOGYen_US
dc.titleExtension of the Darboux Frame into Euclidean 4-Space and its Invariantsen_US
dc.typearticleen_US
dc.relation.journalTurkish Journal of Mathematicsen_US
dc.contributor.departmentİstanbul Gelişim Üniversitesien_US
dc.identifier.volume41en_US
dc.identifier.startpage1628en_US
dc.identifier.endpage1639en_US
dc.relation.publicationcategoryKategori Yoken_US


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