Graph surfaces invariant by parabolic screw motions with constant curvature in H²×R

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dc.authorid0000-0002-5225-186X
dc.contributor.authorDursun, Uğuren_US
dc.date.accessioned2023-04-18T06:58:40Z
dc.date.available2023-04-18T06:58:40Z
dc.date.issued2023-04-30
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.description.abstractIn this work we study vertical graph surfaces invariant by parabolic screw motions with pitch ? > 0 and constant Gaussian curvature or constant extrinsic curvature in the product space H² × R. In particular, we determine flat and extrinsically flat graph surfaces in H² × R. We also obtain complete and non-complete vertical graph surfaces in H² × R with negative constant Gaussian curvature and zero extrinsic curvature.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDursun, U. (2023). Graph surfaces invariant by parabolic screw motions with constant curvature in H²×R. International Electronic Journal of Geometry, 16(1), 215-224. doi:10.36890/iejg.1231759en_US
dc.identifier.doi10.36890/iejg.1231759
dc.identifier.endpage224
dc.identifier.issn1307-5624
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85159059038
dc.identifier.startpage215
dc.identifier.urihttps://hdl.handle.net/11729/5522
dc.identifier.urihttp://dx.doi.org/10.36890/iejg.1231759
dc.identifier.volume16
dc.identifier.wosWOS:000985795700019
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.institutionauthorDursun, Uğuren_US
dc.institutionauthorid0000-0002-5225-186X
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherDergiParken_US
dc.relation.ispartofInternational Electronic Journal of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectParabolic screw motionen_US
dc.subjectGraph surfaceen_US
dc.subjectGaussian curvatureen_US
dc.subjectExtrinsic curvatureen_US
dc.subjectFlat surfaceen_US
dc.subjectMinimal-surfacesen_US
dc.subjectHypersurfacesen_US
dc.titleGraph surfaces invariant by parabolic screw motions with constant curvature in H²×Ren_US
dc.typeArticleen_US

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