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Concircular hypersurfaces and concircular helices inspace forms

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dc.contributor.authorLucas Saorín, Pascual
dc.contributor.authorOrtega Yagües, José Antonio
dc.contributor.departmentMatemáticas
dc.date.accessioned2025-10-07T06:47:07Z
dc.date.available2025-10-07T06:47:07Z
dc.date.copyright© 2023, The Author(s)
dc.date.issued2023-08-23
dc.description.abstractIn this paper, we find a full description of concircular hypersurfaces in spaceforms as a special family of ruled hypersurfaces. We also characterize concircularhelices in 3-dimensional space forms by means of a differential equation involving theconcircular factor and their curvature and torsion, and we show that the concircularhelices are precisely the geodesics of the concircular surfaces.
dc.formatapplication/pdf
dc.format.extent11
dc.identifier.citationMediterranean Journal of Mathematics, 2023, Vol. 20 : 320
dc.identifier.urihttp://hdl.handle.net/10201/164809
dc.languageeng
dc.publisherSpringer
dc.relationThis research is part of the grant PID2021-124157NB-I00, funded by MCIN/ AEI/ 10.13039/ 501100011033/ “ERDF A way of making Europe”. Also supported by “Ayudas a proyectos para el desarrollo de investigación científica y técnica por grupos competitivos”, included in the “Programa Regional de Fomento de la Investigación Científica y Técnica (Plan de Actuación 2022)” of the Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia, Ref. 21899/PI/22.
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s00009-023-02524-w
dc.rightsAttribution 4.0 International*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectSlant helix
dc.subjectConcircular helix
dc.subjectGeneralized cylinder
dc.subjectHelix surface
dc.subjectConical surface
dc.subjectConcircular surface
dc.subjectGeneralized helix
dc.subjectRectifying curve
dc.subject.odsNo relacionado con ningún objetivo de desarrollo sostenible
dc.titleConcircular hypersurfaces and concircular helices inspace forms
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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