MANNHEIM PARTNER P-TRAJECTORIES IN THE EUCLIDEAN 3-SPACE E-3

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dc.authoridİşbilir, Zehra/0000-0001-5414-5887
dc.authorwosidİŞBİLİR, Zehra/AGS-8103-2022
dc.authorwosidİşbilir, Zehra/AAN-9453-2021
dc.contributor.authorİşbilir, Zehra
dc.contributor.authorÖzen, Kahraman Esen
dc.contributor.authorTosun, Murat
dc.date.accessioned2023-07-26T11:57:34Z
dc.date.available2023-07-26T11:57:34Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractMannheim introduced the concept of a pair of curves, called as Mannheim partner curves, in 1878. Until now, Mannheim partner curves have been studied widely in the literature. In this study, we take into account of this concept according to Positional Adapted Frame (PAF) for the particles moving in the 3-dimensional Euclidean space. We introduce a new type special trajectory pairs which are called Mannheim partner P-trajectories in the Euclidean 3-space. The relationships between the PAF elements of this pair are investigated. Also, the relations between the Serret-Frenet basis vectors of Mannheim partner P-trajectories are given. Afterwards, we obtain the necessary conditions for one of these trajectories to be an osculating curve and for other to be a rectifying curve. Moreover, we provide an example including an illustrative figure.en_US
dc.identifier.doi10.5831/HMJ.2022.44.3.419
dc.identifier.endpage431en_US
dc.identifier.issn1225-293X
dc.identifier.issn2288-6176
dc.identifier.issue3en_US
dc.identifier.startpage419en_US
dc.identifier.urihttps://doi.org/10.5831/HMJ.2022.44.3.419
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13228
dc.identifier.volume44en_US
dc.identifier.wosWOS:000890292100009en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.institutionauthorİşbilir, Zehra
dc.language.isoenen_US
dc.publisherHonam Mathematical Socen_US
dc.relation.ispartofHonam Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectKinematics Of A Particle; Mannheim Curves; Positional Adapted Frameen_US
dc.subjectCurves; Frameen_US
dc.titleMANNHEIM PARTNER P-TRAJECTORIES IN THE EUCLIDEAN 3-SPACE E-3en_US
dc.typeArticleen_US

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