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A New Method for Finding the Shape Operator of a Hypersurface in Euclidean 4-Space

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dc.contributor.authorDuldul, Bahar Uyar
dc.date.accessioned2026-06-27T14:20:16Z
dc.date.issued2018
dc.description.abstractIn this paper, by taking a Frenet curve lying on a parametric or implicit hypersurface and using the extended Darboux frame field of this curve, we give a new method for calculating the shape operator's matrix of the hypersurface depending on the extended Darboux frame curvatures. This new method enables us to obtain the Gaussian and mean curvatures of the hypersurface depending on the geodesic torsions of the curve and the normal curvatures of the hypersurface.en
dc.description.urihttps://doi.org/10.2298/fil1817827u
dc.identifier.doi10.2298/fil1817827u
dc.identifier.endpage5836
dc.identifier.issn0354-5180
dc.identifier.issue17
dc.identifier.startpage5827
dc.identifier.urihttps://hdl.handle.net/20.500.14981/59419
dc.identifier.volume32
dc.identifier.wos000461185300004
dc.language.isoeng
dc.publisherUNIV NIS, FAC SCI MATH
dc.relation.ispartofFILOMAT
dc.rightsopenAccess
dc.subjectShape operator
dc.subjecthypersurface
dc.subjectDarboux frame
dc.subjectMathematics
dc.titleA New Method for Finding the Shape Operator of a Hypersurface in Euclidean 4-Space
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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