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On spinor construction of bertrand curves

ArticleAçık Erişim

Özet

Spinors permeate all of modern physics and have also an important place in mathematics. Spinors are used intensively in modern theoretical physics and differential geometry. In this study, spinors are used for a different representation of differential geometry in E3. The goal of this study is also the spinor structure lying at the basis of differential geometry. In this paper, firstly, spinors are introduced algebraically. Then, the spinor construction of Bertrand curves is defined. Moreover, the angle notion for these spinors is given. In this way, a different geometric construction of spinors is established in this paper. © 2021 the Author(s), licensee AIMS Press.

Anahtar Kelimeler

Bertrand curvesSpinors
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13426Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.3934/math.2021213Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorErişir, Tülay
dc.date.accessioned2026-10-18T20:28:15.427856090Z
dc.date.available2026-10-18T20:28:15.427856090Z
dc.date.issued2021
dc.description.abstractSpinors permeate all of modern physics and have also an important place in mathematics. Spinors are used intensively in modern theoretical physics and differential geometry. In this study, spinors are used for a different representation of differential geometry in E3. The goal of this study is also the spinor structure lying at the basis of differential geometry. In this paper, firstly, spinors are introduced algebraically. Then, the spinor construction of Bertrand curves is defined. Moreover, the angle notion for these spinors is given. In this way, a different geometric construction of spinors is established in this paper. © 2021 the Author(s), licensee AIMS Press.
dc.identifier.doi10.3934/math.2021213
dc.identifier.eissn2473-6988
dc.identifier.endpage3591
dc.identifier.issn2473-6988
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85099601663
dc.identifier.startpage3583
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13426
dc.identifier.volume6
dc.identifier.wosWOS:000672862500015
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.ispartofAIMS Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBertrand curves
dc.subjectSpinors
dc.titleOn spinor construction of bertrand curves
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus14
rdl.citation.wos12
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)