An Approach for Surfaces Using an Asymptotic Curve in Lie Group

dc.contributor.authorYoon, Dae Won
dc.contributor.authorYuzbasi, Zuhal Kucukarslan
dc.contributor.authorBektas, Mehmet
dc.date.accessioned2026-08-12T16:58:31Z
dc.date.issued2017
dc.departmentFırat Üniversitesi
dc.description.abstractWe analyze a new method for constructing a surface family from a given curve as an asymptotic curve using the Frenet frame of the curve in a 3-dimensional Lie group G. We derive the conditions for that curve being asymptotic curve for the parametric surface. Finally, we illustrate some interesting examples to support our method.
dc.description.sponsorshipBasic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [2015R1D1A1A01060046]
dc.description.sponsorshipThe first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2015R1D1A1A01060046).
dc.identifier.doi10.1166/jap.2017.1381
dc.identifier.endpage590
dc.identifier.issn2168-1996
dc.identifier.issn2168-2003
dc.identifier.issue4
dc.identifier.orcid0000-0001-7630-5490
dc.identifier.orcid0000-0002-5797-4944
dc.identifier.startpage586
dc.identifier.urihttps://doi.org/10.1166/jap.2017.1381
dc.identifier.urihttps://hdl.handle.net/11508/46902
dc.identifier.volume6
dc.identifier.wosWOS:000422715700023
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherAmer Scientific Publishers
dc.relation.ispartofJournal of Advanced Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectLie Group
dc.subjectAsymptotic
dc.subjectParametric Surface
dc.titleAn Approach for Surfaces Using an Asymptotic Curve in Lie Group
dc.typeArticle

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