A generalization for surfaces using a line of curvature in Lie group

Basit Öğe Kaydı
dc.contributor.authorYoon, Dae Won
dc.contributor.authorYuzbasi, Zuhal Kucukarslan
dc.date.accessioned2026-08-12T17:36:02Z
dc.date.issued2021
dc.departmentFırat Üniversitesi
dc.description.abstractIn this study, we investigate how to construct surfaces using a line of curvature in a 3-dimensional Lie group. Then, by utilizing the Frenet frame, we give the conditions that a curve becomes a line of curvature on a surface when the marching-scale functions are more general expressions. After then, we provide some crucial examples of how efficient our method is on these surfaces.
dc.description.sponsorshipBasic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [NRF-2018R1D1A1B07046979]
dc.description.sponsorshipThe authors thank Editor and the reviewers for their detailed reading of the manuscript and their valuable comments and suggestions that led to a considerable improvement of the paper. The first 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.664764
dc.identifier.endpage452
dc.identifier.issn2651-477X
dc.identifier.issue2
dc.identifier.orcid0000-0001-7630-5490
dc.identifier.scopus2-s2.0-85105528108
dc.identifier.scopusqualityQ2
dc.identifier.startpage444
dc.identifier.trdizinid492872
dc.identifier.urihttps://doi.org/10.15672/hujms.664764
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/492872
dc.identifier.urihttps://hdl.handle.net/11508/57762
dc.identifier.volume50
dc.identifier.wosWOS:000640069900013
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.subjectsurface family
dc.subjectLie Group
dc.subjectline of curvature
dc.titleA generalization for surfaces using a line of curvature in Lie group
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
TR-Dizin İndeksli Yayınlar Koleksiyonu