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Dual curves associated with the Bonnet ruled surfaces

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dc.creator Çimdiker Aslan, Muradiye
dc.creator Aydın Şekerci, Gülşah
dc.date 2020-10-31T21:00:00Z
dc.date.accessioned 2021-01-21T08:23:53Z
dc.date.available 2021-01-21T08:23:53Z
dc.identifier a5e0fd78-ac00-4ab4-bd86-6a6107fb1a93
dc.identifier 10.1142/s0219887820502047
dc.identifier https://avesis.sdu.edu.tr/publication/details/a5e0fd78-ac00-4ab4-bd86-6a6107fb1a93/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/85519
dc.description © 2020 World Scientific Publishing Company.An interest problem arises to determine the surfaces in the Euclidean three space, which admit at least one nontrivial isometry that preserves the principal curvatures. This leads to a class of surface known as a Bonnet surface. The intention of this study is to examine a Bonnet ruled surface in dual space and to calculate the dual geodesic trihedron of the dual curve associated with the Bonnet ruled surface and derivative equations of this trihedron by the dual geodesic curvature. Also, we find that the dual curvature, the dual torsion for the dual curves associated with the Bonnet ruled surface which are different from any dual curves. Moreover, some examples are obtained about the Bonnet ruled surface.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Dual curves associated with the Bonnet ruled surfaces
dc.type info:eu-repo/semantics/article


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