Characterizations of a helicoid and a catenoid

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dc.contributor.authorYuzbasi, Zuhal Kucukarslan
dc.contributor.authorYoon, Dae Won
dc.date.accessioned2026-08-12T17:36:53Z
dc.date.issued2022
dc.departmentFırat Üniversitesi
dc.description.abstractIn the present article, we consider a parametric surface generated by the Frenet frame of a curve, and study the minimality condition for the surface. As a result, we give characterizations of a helicoid and a catenoid. Finally we show some examples of minimal surfaces generated by a circle and a helix.
dc.description.sponsorshipBasic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [NRF-2018R1D1A1B07046979]
dc.description.sponsorshipThe second author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2018R1D1A1B07046979).
dc.identifier.doi10.15672/hujms.881876
dc.identifier.endpage1012
dc.identifier.issn2651-477X
dc.identifier.issue4
dc.identifier.orcid0000-0001-7630-5490
dc.identifier.scopus2-s2.0-85134491643
dc.identifier.scopusqualityQ2
dc.identifier.startpage1005
dc.identifier.trdizinid1162784
dc.identifier.urihttps://doi.org/10.15672/hujms.881876
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1162784
dc.identifier.urihttps://hdl.handle.net/11508/58104
dc.identifier.volume51
dc.identifier.wosWOS:000836740900006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherHacettepe Univ, Fac Sci
dc.relation.ispartofHacettepe Journal of Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectminimal surface
dc.subjectcatenoid
dc.subjecthelicoid
dc.subjectmarching-scale function
dc.titleCharacterizations of a helicoid and a catenoid
dc.typeArticle

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