DIFFERENTIAL EQUATIONS CHARACTERIZATION FOR Di-DARBOUX SLANT HELICES

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In this article, the differential equation characterizations for D-i-Darboux slant helices given with the help of three new orthogonal frames are introduced for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called Osculating Darboux Frame, Normal Darboux Frame, and Rectifying Darboux Frame, respectively.

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dc.contributor.authorAlkan, Akin
dc.contributor.authorKocayígít, Huseyin
dc.contributor.authorAydin, Tuba Agirman
dc.date.accessioned2026-10-29T19:15:52.557945143Z
dc.date.available2026-10-29T19:15:52.557945143Z
dc.date.issued2025
dc.description.abstractIn this article, the differential equation characterizations for D-i-Darboux slant helices given with the help of three new orthogonal frames are introduced for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called Osculating Darboux Frame, Normal Darboux Frame, and Rectifying Darboux Frame, respectively.
dc.identifier.doi10.46939/j.sci.arts-25.2-a10
dc.identifier.eissn2068-3049
dc.identifier.endpage336
dc.identifier.issn1844-9581
dc.identifier.issue2
dc.identifier.startpage325
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/14448
dc.identifier.wosWOS:001531580300010
dc.language.isoen
dc.publisherEDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE
dc.relation.ispartofJOURNAL OF SCIENCE AND ARTS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDarboux slant helix
dc.subjectSlant Helix
dc.subjectDarboux Frame
dc.subjectOD-Frame
dc.subjectND-Frame
dc.subjectRD-Frame
dc.subject.classificationMultidisciplinary Sciences
dc.subject.classificationScience & Technology - Other Topics
dc.subject.otherCURVES
dc.titleDIFFERENTIAL EQUATIONS CHARACTERIZATION FOR Di-DARBOUX SLANT HELICES
dc.typeArticle
rdl.citation.openalex1
rdl.citation.wos1
rdl.oa.statushybrid
rdl.oa.urlhttps://doi.org/10.46939/j.sci.arts-25.2-a10
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)