Publication:
Concircular helices and concircular surfaces in Euclidean 3-space R3

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dc.contributor.authorLucas Saorín, Pascual
dc.contributor.authorOrtega Yagües, José Antonio
dc.contributor.departmentMatemáticas
dc.date.accessioned2025-10-06T11:38:31Z
dc.date.available2025-10-06T11:38:31Z
dc.date.copyright© 2023 Facultad de Ciencias de la Universidad de Hacettepe
dc.date.issued2023
dc.description.abstractIn this paper we characterize concircular helices in R3 by means of a differential equation involving their curvature and torsion. We find a full description of concircular surfaces in R3 as a special family of ruled surfaces, and we show that M ⊂ R3 is a proper concircular surface if and only if either M is parallel to a conical surface or M is the normal surface to a spherical curve. Finally, we characterize the concircular helices as geodesics of concircular surfaces.
dc.formatapplication/pdf
dc.format.extent12
dc.identifier.citationHacettepe Journal of Mathematics and Statistics, 2023, Vol. 52 (4), pp. 995-1005
dc.identifier.doihttps://doi.org/10.15672/hujms.1187220
dc.identifier.eissn2651-477X
dc.identifier.urihttp://hdl.handle.net/10201/164749
dc.languageeng
dc.publisherUniversidad de Hacettepe
dc.relationSin financiación externa a la Universidad
dc.relation.publisherversionhttps://dergipark.org.tr/en/download/article-file/2700729
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectSlant helix
dc.subjectRectifying curve
dc.subjectConcircular helix
dc.subjectGeneralized cylinder e
dc.subjectHelix surface
dc.subjectConical surface
dc.subjectConcircular surface
dc.subjectTangent surfac
dc.subjectGeneralized helix
dc.subject.odsNo relacionado con ningún objetivo de desarrollo sostenible
dc.titleConcircular helices and concircular surfaces in Euclidean 3-space R3
dc.typeinfo:eu-repo/semantics/article
dspace.entity.typePublicationes
relation.isAuthorOfPublicatione7ed6d00-8b40-4f60-9bd6-36df74ccba78
relation.isAuthorOfPublication.latestForDiscoverye7ed6d00-8b40-4f60-9bd6-36df74ccba78
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