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Surfaces of Revolution of Type 1 in Galilean 3-Space

ArticleAçık Erişim

Özet

In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space G3 in terms of the position vector field, Gauss map, and Laplacian operator of the first and the second fundamental forms on the surface. Furthermore, we give a classification of surfaces of revolution of Type 1 generated by a non-isotropic curve satisfying the pointwise 1-type Gauss map equation.

Anahtar Kelimeler

Laplace operatorGauss mapGalilean spacesurfaces of revolutionpointwise 1-typeTRANSLATION SURFACESCLASSIFICATIONMathematics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/17031Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.5666/kmj.2020.60.3.585Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorCakmak, Ali
dc.contributor.authorEs, Hasan
dc.contributor.authorKaracan, Murat Kemal
dc.contributor.authorKiziltug, Sezai
dc.date.accessioned2026-10-18T20:42:58.383942234Z
dc.date.available2026-10-18T20:42:58.383942234Z
dc.date.issued2020
dc.description.abstractIn this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space G3 in terms of the position vector field, Gauss map, and Laplacian operator of the first and the second fundamental forms on the surface. Furthermore, we give a classification of surfaces of revolution of Type 1 generated by a non-isotropic curve satisfying the pointwise 1-type Gauss map equation.
dc.identifier.doi10.5666/kmj.2020.60.3.585
dc.identifier.eissn0454-8124
dc.identifier.endpage597
dc.identifier.issn1225-6951
dc.identifier.issue3
dc.identifier.startpage585
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/17031
dc.identifier.volume60
dc.identifier.wosWOS:000580498600012
dc.language.isoen
dc.publisherKYUNGPOOK NATL UNIV, DEPT MATHEMATICS
dc.relation.ispartofKYUNGPOOK MATHEMATICAL JOURNAL
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectLaplace operator
dc.subjectGauss map
dc.subjectGalilean space
dc.subjectsurfaces of revolution
dc.subjectpointwise 1-type
dc.subjectTRANSLATION SURFACES
dc.subjectCLASSIFICATION
dc.subjectMathematics
dc.titleSurfaces of Revolution of Type 1 in Galilean 3-Space
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos0
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)