ON THE DARBOUX ROTATION AXIS OF CURVES IN THREE-DIMENSIONAL LIE GROUPS

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dc.contributor.authorOzturk, Ufuk
dc.contributor.authorErdal, Gulay
dc.date.accessioned2024-09-25T19:57:36Z
dc.date.available2024-09-25T19:57:36Z
dc.date.issued2023
dc.departmentAbant İzzet Baysal Üniversitesien_US
dc.description.abstractThis paper presents a study on the motion of the Darboux rotation axis for curves in three-dimensional Lie groups a bi-invariant metric using the Frenet frame. Our findings reveal that the motion of the axis can be resolved into two simultaneous rotational motions. Additionally, we develop a sequence of Darboux vectors that are useful in constructing uncomplicated mechanisms. We also introduce a curve with constant precession and conduct an exhaustive analysis of its characteristics.en_US
dc.identifier.doi10.22190/FUMI230404041O
dc.identifier.endpage658en_US
dc.identifier.issn0352-9665
dc.identifier.issn2406-047X
dc.identifier.issue3en_US
dc.identifier.startpage649en_US
dc.identifier.urihttps://doi.org/10.22190/FUMI230404041O
dc.identifier.urihttps://hdl.handle.net/20.500.12491/13490
dc.identifier.volume38en_US
dc.identifier.wosWOS:001133108700007en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherUniv Nisen_US
dc.relation.ispartofFacta Universitatis-Series Mathematics And Informaticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzYK_20240925en_US
dc.subjectDarboux axisen_US
dc.subjectslant helixen_US
dc.subjecta curve of constant precessionen_US
dc.subjectLie groupsen_US
dc.titleON THE DARBOUX ROTATION AXIS OF CURVES IN THREE-DIMENSIONAL LIE GROUPSen_US
dc.typeArticleen_US

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