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New moving frames for the curves lying on a surface

MakaleAçık ErişimScopus SJRQ4

Özet

In this article, three new orthogonal frames are defined for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called “Osculator Darboux Frame”, “Normal Darboux Frame” and “Rectifying Darboux Frame”, respectively. Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example. Cite this article as: Alkan A, Kocayiğit H, Ağırman Aydın T. New moving frames for the curves lying on a surface. Sigma J Eng Nat Sci 2024;42(4):1023−1029. Copyright 2021, Yıldız Technical University.

Anahtar Kelimeler

Darboux FrameMoving FrameNormal Darboux VectorOsculator Darboux VectorRectifying Darboux Vector
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/bayburt/13149Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.14744/sigma.2023.00049Yayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.
Atıflar
Scopus
2
WoS
4
OpenAlex
2
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAlkan, Akın
dc.contributor.authorHüseyin, Kocayi̇Ği̇T
dc.contributor.authorAğirman Aydin, Tuba
dc.date.accessioned2026-10-29T19:10:33.121964594Z
dc.date.available2026-10-29T19:10:33.121964594Z
dc.date.issued2024
dc.description.abstractIn this article, three new orthogonal frames are defined for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called “Osculator Darboux Frame”, “Normal Darboux Frame” and “Rectifying Darboux Frame”, respectively. Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example. Cite this article as: Alkan A, Kocayiğit H, Ağırman Aydın T. New moving frames for the curves lying on a surface. Sigma J Eng Nat Sci 2024;42(4):1023−1029. Copyright 2021, Yıldız Technical University.
dc.identifier.doi10.14744/sigma.2023.00049
dc.identifier.eissn1304-7191
dc.identifier.endpage1029
dc.identifier.issn1304-7191
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85200784164
dc.identifier.startpage1023
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/13149
dc.identifier.volume42
dc.identifier.wosWOS:001316114100007
dc.language.isoen
dc.publisherYildiz Technical University
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDarboux Frame
dc.subjectMoving Frame
dc.subjectNormal Darboux Vector
dc.subjectOsculator Darboux Vector
dc.subjectRectifying Darboux Vector
dc.subject.classificationEngineering, Multidisciplinary
dc.subject.classificationEngineering
dc.subject.otherSLANT HELICES
dc.titleNew moving frames for the curves lying on a surface
dc.typeArticle
rdl.citation.openalex2
rdl.citation.scopus2
rdl.citation.wos4
rdl.oa.statusgold
rdl.oa.urlhttps://doi.org/10.14744/sigma.2023.00049
rdl.scopus.quartileQ4
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)