ON SPECIAL SINGULAR CURVE COUPLES OF FRAMED CURVES IN 3D LIE GROUPS

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dc.contributor.authorYazici, Bahar Dogan
dc.contributor.authorOkuyucu, Osman Zeki
dc.contributor.authorTosun, Murat
dc.date.accessioned2025-05-20T18:53:57Z
dc.date.issued2023
dc.departmentBilecik Şeyh Edebali Üniversitesi
dc.description.abstractIn this paper, we introduce Bertrand and Mannheim curves of framed curves, which are a special singular curve in 3D Lie groups. We explain the conditions for framed curves to be Bertrand curves and Mannheim curves in 3D Lie groups. We give relationships between framed curvatures and Lie curvatures of Bertrand and Mannheim curves of framed curves. In addition, we obtain the characterization of Bertrand and Mannheim curves according to the various frames of framed curves in 3D Lie groups.
dc.identifier.doi10.31801/cfsuasmas.1197154
dc.identifier.endpage720
dc.identifier.issn1303-5991
dc.identifier.issue3
dc.identifier.scopusqualityN/A
dc.identifier.startpage710
dc.identifier.trdizinid1199615
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1197154
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1199615
dc.identifier.urihttps://hdl.handle.net/11552/7102
dc.identifier.volume72
dc.identifier.wosWOS:001108742100002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWoS
dc.indekslendigikaynakTR-Dizin
dc.indekslendigikaynakWoS - Emerging Sources Citation Index
dc.language.isoen
dc.publisherAnkara Univ, Fac Sci
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250518
dc.subjectBertrand curves
dc.subjectMannheim curves
dc.subjectframed curves
dc.subjectLie groups
dc.titleON SPECIAL SINGULAR CURVE COUPLES OF FRAMED CURVES IN 3D LIE GROUPS
dc.typeArticle

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