On Darboux helices in Euclidean 4-space

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dc.contributor.authorIlarslan, Kazim
dc.contributor.authorYildirim, Mehmet
dc.date.accessioned2020-06-25T18:30:24Z
dc.date.available2020-06-25T18:30:24Z
dc.date.issued2019
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe notion of Darboux helix in Euclidean 3-space was introduced and studied by Yayli et al. 2012. They show that the class of Darboux helices coincide with the class of slant helices. In a special case, if the curvature functions satisfy the equality kappa(2) + tau(2) = constant, then these curves are curve of the constant precession. In this paper, we study Darboux helices in Euclidean 4-space, and we give a characterization for a curve to be a Darboux helix. We also prove that Darboux helices coincide with the general helices. In a special case, if the first and third curvatures of the curve are equal, then Darboux helix, general helix, and V-4-slant helix are the same concepts.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1002/mma.5260
dc.identifier.endpage5189en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue16en_US
dc.identifier.scopus2-s2.0-85053865181
dc.identifier.scopusqualityQ1
dc.identifier.startpage5184en_US
dc.identifier.urihttps://doi.org/10.1002/mma.5260
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7634
dc.identifier.volume42en_US
dc.identifier.wosWOS:000503431300007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods In The Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDarboux helixen_US
dc.subjectDarboux vectoren_US
dc.subjectgeneral helixen_US
dc.subjectV-4-slant helixen_US
dc.titleOn Darboux helices in Euclidean 4-spaceen_US
dc.typeArticle

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