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Intersection curve of two parametric surfaces in Euclidean n-space

dc.contributor.authorDuldul, Mustafa
dc.contributor.authorOzcetin, B. Merih
dc.date.accessioned2026-06-27T14:35:05Z
dc.date.issued2021
dc.description.abstractThe aim of this paper is to study the differential geometric properties of the intersection curve of two parametric surfaces in Euclidean n-space. For this aim, we first present the mth order derivative formula of a curve lying on a parametric surface. Then, we obtain curvatures and Frenet vectors of the transversal intersection curve of two parametric surfaces in Euclidean n-space. We also provide computer code produced in MATLAB to simplify determining the coefficients relative to Frenet frame of higher order derivatives of a curve.en
dc.description.sponsorship[T ~UB_ ITAK-B_ IDEB]
dc.description.urihttps://doi.org/10.12697/acutm.2021.25.17
dc.identifier.doi10.12697/acutm.2021.25.17
dc.identifier.eissn2228-4699
dc.identifier.endpage279
dc.identifier.issn1406-2283
dc.identifier.issue2
dc.identifier.startpage259
dc.identifier.urihttps://hdl.handle.net/20.500.14981/62359
dc.identifier.volume25
dc.identifier.wos000750305900006
dc.language.isoeng
dc.publisherUNIV TARTU PRESS
dc.relation.ispartofACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA
dc.rightsopenAccess
dc.subjectSurface-surface intersection
dc.subjecttransversal intersection
dc.subjectFrenet vectors
dc.subjectcurvatures
dc.subjectDIFFERENTIAL GEOMETRY
dc.subjectHYPERSURFACES
dc.subjectCURVATURE
dc.subjectFORMULAS
dc.subjectR-4
dc.subjectMathematics
dc.titleIntersection curve of two parametric surfaces in Euclidean n-space
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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