EXPLORING NEW DIRECTIONAL CURVES OF A SPACELIKE CURVE IN MINKOWSKI 3?SPACE

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dc.authorscopusid58909975600
dc.authorscopusid58909975700
dc.authorscopusid55772592200
dc.contributor.authorAl-Obaidi, Shaymaa S. A.
dc.contributor.authorMahmood, Ghassan A. Mahmood
dc.contributor.authorÖztürk, Ufuk
dc.date.accessioned2024-09-25T19:45:07Z
dc.date.available2024-09-25T19:45:07Z
dc.date.issued2024
dc.departmentAbant İzzet Baysal Üniversitesien_US
dc.description.abstractIn this study, we explore new associated curves in Minkowski 3?space E31 by using the Darboux frame {T, ?, ?} instead of Frenet frame {T, N, B} of the spacelike curve ? having a spacelike principal normal lying on a timelike surface M. These associated curves, denoted as¯Dn,¯Dr, and¯Do, lie in planes defined by {?, ?}, {T, ?}, and {T, ?}, respectively. We establish relationships between the Darboux frame and the curvatures kg, kn, ?g of the curve ? as well as the Frenet apparatus of the associated curves. Furthermore, we derive necessary and sufficient conditions for these associated curves to exhibit helical or spherical characteristics. Finally, we present relevant examples. © 2024 Asia Pacific Journal of Mathematics.en_US
dc.identifier.doi10.28924/APJM/11-29
dc.identifier.issn2357-2205
dc.identifier.scopus2-s2.0-85186254255en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.urihttps://doi.org/10.28924/APJM/11-29
dc.identifier.urihttps://hdl.handle.net/20.500.12491/12871
dc.identifier.volume11en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAsia Pacific Academicen_US
dc.relation.ispartofAsia Pacific Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzYK_20240925en_US
dc.subjectassociated curvesen_US
dc.subjecthelicesen_US
dc.subjectisophote curvesen_US
dc.subjectMinkowski 3?spaceen_US
dc.subjectrelatively normal-slant helicesen_US
dc.subjectspacelike curveen_US
dc.subjectspherical curvesen_US
dc.titleEXPLORING NEW DIRECTIONAL CURVES OF A SPACELIKE CURVE IN MINKOWSKI 3?SPACEen_US
dc.typeArticleen_US

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