Spinor Representations of Positional Adapted Frame in the Euclidean 3-Space

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dc.authoridOzen, Kahraman Esen/0000-0002-3299-6709en_US
dc.authoridİşbilir, Zehra/0000-0001-5414-5887;en_US
dc.authorscopusid57224320063en_US
dc.authorscopusid57200374424en_US
dc.authorscopusid7004508644en_US
dc.authorwosidOzen, Kahraman Esen/JAX-6350-2023en_US
dc.authorwosidİşbilir, Zehra/AAN-9453-2021en_US
dc.authorwosidİŞBİLİR, Zehra/AGS-8103-2022en_US
dc.contributor.authorIsbilir, Zehra
dc.contributor.authorOzen, Kahraman Esen
dc.contributor.authorGuner, Mehmet
dc.date.accessioned2024-08-23T16:03:32Z
dc.date.available2024-08-23T16:03:32Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe main goal of this paper is to study together the spinors, which have a major place in several disciplines from mathematics to physics, and Positional Adapted Frame (PAF) which is a new frame that attracts the attention of many researchers. In accordance with this purpose, we introduce the spinor representations for the trajectories endowed with PAF in the Euclidean 3-space E3, and construct the spinor equations of PAF vectors. Then, we find the relations between spinor representations of PAF and Serret-Frenet frame. Also we give some results and present some geometric interpretations with respect to this relationship. Moreover, we present an illustrative numerical example in order to support the given theorems and results.en_US
dc.identifier.doi10.36890/IEJG.1179503
dc.identifier.endpage72en_US
dc.identifier.issn1307-5624
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85159096507en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage62en_US
dc.identifier.urihttps://doi.org/10.36890/IEJG.1179503
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13792
dc.identifier.volume16en_US
dc.identifier.wosWOS:000985795700004en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInt Electronic Journal Geometryen_US
dc.relation.ispartofInternational Electronic Journal of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectKinematics of a particleen_US
dc.subjectpositional adapted frameen_US
dc.subjectspinorsen_US
dc.subjectHyperbolic Spinorsen_US
dc.subjectCurvesen_US
dc.subjectConstructionen_US
dc.titleSpinor Representations of Positional Adapted Frame in the Euclidean 3-Spaceen_US
dc.typeArticleen_US

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