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Some Applications on Spherical Indicatrices of the Helix Curve

MakaleAçık Erişim

Özet

In this study, the Frenet elements of the curves that are drawn on the unit sphere by the unit vectors obtained from linear combinations of Frenet vectors of the helix curve are calculated. Moreover, Sabban frames of these curves are created and Smarandache curves are defined. Finally, the geodesic curvatures of each Smarandache curve are calculated.

Anahtar Kelimeler

Matematik
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/20046Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.54370/ordubtd.1438188Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorŞenyurt, Süleyman
dc.contributor.authorMazlum, Sümeyye Gür
dc.date.accessioned2026-10-22T10:52:50.010517858Z
dc.date.available2026-10-22T10:52:50.010517858Z
dc.date.issued2024
dc.description.abstractIn this study, the Frenet elements of the curves that are drawn on the unit sphere by the unit vectors obtained from linear combinations of Frenet vectors of the helix curve are calculated. Moreover, Sabban frames of these curves are created and Smarandache curves are defined. Finally, the geodesic curvatures of each Smarandache curve are calculated.
dc.identifier.doi10.54370/ordubtd.1438188
dc.identifier.eissn2146-6459
dc.identifier.endpage175
dc.identifier.issn2146-6440
dc.identifier.issue1
dc.identifier.startpage154
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/20046
dc.identifier.volume14
dc.language.isoen
dc.relation.ispartofOrdu Üniversitesi Bilim ve Teknoloji Dergisi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMatematik
dc.titleSome Applications on Spherical Indicatrices of the Helix Curve
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex1
rdl.citation.trdizin0
rdl.oa.statusbronze
rdl.oa.urlhttps://dergipark.org.tr/en/download/article-file/3733838
rdl.source.indexTRDIZIN