On special curves in Lie groups with Myller configuration

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dc.authoridISBILIR, ZEHRA/0000-0001-5414-5887en_US
dc.authorscopusid57224320063en_US
dc.authorscopusid57224120286en_US
dc.authorscopusid35390115900en_US
dc.contributor.authorIsbilir, Zehra
dc.contributor.authorDogan Yazici, Bahar
dc.contributor.authorTosun, Murat
dc.date.accessioned2024-08-23T16:07:18Z
dc.date.available2024-08-23T16:07:18Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this study, we determine a new type comprehensive frame, which is called the generalized Frenet-type frame in three-dimensional Lie groups with Myller configurations, and it includes several special and classical type frames for Euclidean 3-space and three-dimensional Lie groups. After constructing this new comprehensive frame, we obtain derivative formulas with the help of the Lie curvature. In addition, we define some special type curves. The geometry of versor fields along a curve with Frenet-type frame in three-dimensional Lie groups with Myller configurations is a generalization of the usual theory of curves. Since this particular relationship, the osculating-type and rectifying-type curves with Frenet-type frame in three-dimensional Lie groups with Myller configurations include some special cases for osculating and rectifying curves in different spaces.en_US
dc.identifier.doi10.1002/mma.10149
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.scopus2-s2.0-85191333476en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1002/mma.10149
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14578
dc.identifier.wosWOS:001207248700001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFrenet-type frameen_US
dc.subjectLie groupsen_US
dc.subjectMyller configurationen_US
dc.subjectosculating-type curvesen_US
dc.subjectrectifying-type curvesen_US
dc.subjectversor fielden_US
dc.subjectOsculating Curvesen_US
dc.titleOn special curves in Lie groups with Myller configurationen_US
dc.typeArticleen_US

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