Surfaces of Osculating Circles in Euclidean Space

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dc.contributor.authorLopez, Rafael
dc.contributor.authorCamci, Cetin
dc.contributor.authorUcum, Ali
dc.contributor.authorIlarslan, Kazim
dc.date.accessioned2025-01-21T16:44:47Z
dc.date.available2025-01-21T16:44:47Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe aim of this paper is to define a new class of surfaces in Euclidean space using the concept of osculating circle. Given a regular curve C, the surface of osculating circles generated by C is the set of all osculating circles at all points of C. It is proved that these surfaces contain a one-parametric family of planar lines of curvature. A classification of surfaces of osculating circles is given in the family of canal surfaces, Weingarten surfaces, surfaces with constant Gauss curvature and surfaces with constant mean curvature.
dc.description.sponsorshipProjects I+D+i [PID2020-117868GB-I00, A-FQM-139-UGR18, P18-FR-4049]
dc.description.sponsorshipThe authors thank to the referees for their comments and suggestions, which have notably improved the presentation of this paper. Rafael L ' opez is a member of the Institute of Mathematics of the University of Granada. This work has been partially supported by the Projects I+D+i PID2020-117868GB-I00, A-FQM-139-UGR18 and P18-FR-4049.
dc.identifier.doi10.1007/s10013-022-00585-0
dc.identifier.endpage210
dc.identifier.issn2305-221X
dc.identifier.issn2305-2228
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85138100480
dc.identifier.scopusqualityQ2
dc.identifier.startpage197
dc.identifier.urihttps://doi.org/10.1007/s10013-022-00585-0
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25501
dc.identifier.volume52
dc.identifier.wosWOS:000854681600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Singapore Pte Ltd
dc.relation.ispartofVietnam Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectOsculating circle; Surface of osculating circles; Canal surface; Weingarten surface
dc.titleSurfaces of Osculating Circles in Euclidean Space
dc.typeArticle

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