Embankment surfaces with the Darboux frame in Euclidean 3-space

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dc.contributor.authorKocakusakli, Erdem
dc.date.accessioned2026-04-25T14:20:30Z
dc.date.available2026-04-25T14:20:30Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractThis article was dedicated to the study of embankment, embankment-like, and tubembankment-like surfaces generated by a regular space curve according to the Darboux frame in Euclidean 3-space. Initially, we presented the parametric equations defining these surfaces. Subsequently, their quaternionic and matrix representations were derived to provide alternative and efficient formulations. In addition, the geometric properties of tubembankment-like surfaces were thoroughly examined, leading to several significant theorems and corollaries. To demonstrate the applicability and validity of the theoretical results, illustrative examples were generated by using the Mathematica program.
dc.identifier.doi10.3934/math.2025937
dc.identifier.endpage21003
dc.identifier.issn2473-6988
dc.identifier.issue9
dc.identifier.scopus2-s2.0-105018061832
dc.identifier.scopusqualityQ1
dc.identifier.startpage20979
dc.identifier.urihttps://doi.org/10.3934/math.2025937
dc.identifier.urihttps://hdl.handle.net/11486/8617
dc.identifier.volume10
dc.identifier.wosWOS:001570715600003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorKocakusakli, Erdem
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260420
dc.subjectembankment surface
dc.subjectDarboux frame
dc.subjectquaternion
dc.subjectmatrix representation
dc.subjecthomothetic motion
dc.titleEmbankment surfaces with the Darboux frame in Euclidean 3-space
dc.typeArticle

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