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On the Derivative Formulas of the Rotation Minimizing Frame in Lorentz-Minkowski 3-Space

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dc.authorscopusid57219653908
dc.authorscopusid55880458100
dc.authorwosidYerlikaya, Firat/Lsk-4163-2024
dc.contributor.authorYerlikaya, Firat
dc.contributor.authorAydemir, Ismail
dc.contributor.authorIDYerlikaya, Fırat/0000-0003-2360-1522
dc.date.accessioned2025-12-11T01:11:19Z
dc.date.issued2022
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Yerlikaya, Firat; Aydemir, Ismail] Ondokuz Mars Univ, Fac Arts & Sci, Dept Math, TR-55139 Samsun, Turkeyen_US
dc.descriptionYerlikaya, Fırat/0000-0003-2360-1522;en_US
dc.description.abstractThe main intention of this paper is to analyze integrability for the derivative formulas of the rotation minimizing frame in the Lorentz-Minkowski 3-space. As far as we know, no one has yet given a method to study their integrability in the Lorentz-Minkowski 3-space. So, we introduce the coordinate system in order to provide a tool for studying the integrability. As an application, the position vectors of some special curves having an important place in mathematical and physical research are obtained in the natural representation form. Finally, we support our work with examples.en_US
dc.description.sponsorshipProject Management Office of Ondokuz Mayis University [PYO.FEN.1904.18.009]en_US
dc.description.sponsorshipThis work was supported by Project Management Office of Ondokuz Mayis University (Project Number: PYO.FEN.1904.18.009).en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.1142/S0219887822500372
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85123872457
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0219887822500372
dc.identifier.urihttps://hdl.handle.net/20.500.12712/41968
dc.identifier.volume19en_US
dc.identifier.wosWOS:000769648000002
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Geometric Methods in Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBishop Slant Helixen_US
dc.subjectDarboux Helixen_US
dc.subjectPosition Vector Fielden_US
dc.subjectRotation Minimizing Frameen_US
dc.subjectLorentz-Minkowski 3-Spaceen_US
dc.titleOn the Derivative Formulas of the Rotation Minimizing Frame in Lorentz-Minkowski 3-Spaceen_US
dc.typeArticleen_US
dspace.entity.typePublication

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