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Shape Operator via Darboux Frame Curvatures and Its Applications

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dc.contributor.authorDuldul, Bahar Uyar
dc.contributor.authorDuldul, Mustafa
dc.date.accessioned2026-06-27T14:16:41Z
dc.date.issued2019
dc.description.abstractWe present the shape operator's matrix of a surface along a surface curve. By using the obtained matrix, we give a short proof of the Beltrami-Enneper theorem. Also, we give a new method for determining the well-known geodesic curves of a plane, a sphere and a circular cylinder by using the relation between the ordinary curvatures of the geodesic and the curvatures of the surface.en
dc.identifier.endpage187
dc.identifier.issn1307-5624
dc.identifier.issue2
dc.identifier.startpage182
dc.identifier.urihttps://hdl.handle.net/20.500.14981/58717
dc.identifier.volume12
dc.identifier.wos000493100800004
dc.language.isoeng
dc.publisherINT ELECTRONIC JOURNAL GEOMETRY
dc.relation.ispartofINTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
dc.subjectShape operator
dc.subjectDarboux frame
dc.subjectgeodesic curve
dc.subjectcurvature
dc.subjectMathematics
dc.titleShape Operator via Darboux Frame Curvatures and Its Applications
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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