Ruled surfaces and tangent bundle of unit 2-sphere

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dc.contributor.authorHathout, F.
dc.contributor.authorBekar, M.
dc.contributor.authorYayli, Y.
dc.date.accessioned2024-02-23T14:26:26Z
dc.date.available2024-02-23T14:26:26Z
dc.date.issued2017
dc.departmentNEÜen_US
dc.description.abstractIn this paper, a one-to-one correspondence is given between the tangent bundle of unit 2-sphere, TS2, and the unit dual sphere, S-D(2). According to Study's map, to each curve on S-D(2) corresponds a ruled surface in Euclidean 3-space, R-3. Through this correspondence, we have corresponded to each curve on TS2 a unique ruled surface in R-3. Moreover, the relationships between the developability conditions of these ruled surfaces and their striction curves are analyzed. It is shown that the ruled surfaces corresponding to the involute-evolute curve couples on TS2 are developable.en_US
dc.identifier.doi10.1142/S0219887817501456
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85026890765en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S0219887817501456
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14186
dc.identifier.volume14en_US
dc.identifier.wosWOS:000410712100012en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal Of Geometric Methods In Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTangent Bundleen_US
dc.subjectLegendre Curveen_US
dc.subjectUnit Dual Sphereen_US
dc.subjectStudy's Mapen_US
dc.subjectRuled Surfaceen_US
dc.subjectSriction Curveen_US
dc.titleRuled surfaces and tangent bundle of unit 2-sphereen_US
dc.typeArticleen_US

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