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Translation surfaces in the 3-dimensional Galilean space satisfying ΔII xi = λixi

ArticleAçık Erişim

Özet

In this paper, we classify translation surfaces in the three dimensional Galilean space G3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the second fundamental form of the surface. We also give explicit forms of these surfaces. © 2017 Korean Mathematical Society.

Anahtar Kelimeler

Galilean spaceLaplace operatorTranslation surfaces
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/14885Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.4134/bkms.b160442Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÇakmak, Ali
dc.contributor.authorKaracan, Murat Kemal
dc.contributor.authorKiziltug, Sezai
dc.contributor.authorYoon, Dae Won
dc.date.accessioned2026-10-18T20:29:41.120384748Z
dc.date.available2026-10-18T20:29:41.120384748Z
dc.date.issued2017
dc.description.abstractIn this paper, we classify translation surfaces in the three dimensional Galilean space G3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the second fundamental form of the surface. We also give explicit forms of these surfaces. © 2017 Korean Mathematical Society.
dc.description.sponsorshipThe authors would like to thank the referees for their valuable comments which helped to improve the manuscript. The fourth 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.doi10.4134/bkms.b160442
dc.identifier.endpage1254
dc.identifier.issn1015-8634
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85026747607
dc.identifier.startpage1241
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14885
dc.identifier.volume54
dc.identifier.wosWOS:000408749400011
dc.language.isoen
dc.publisherKorean Mathematical Society
dc.relation.ispartofBulletin of the Korean Mathematical Society
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectGalilean space
dc.subjectLaplace operator
dc.subjectTranslation surfaces
dc.titleTranslation surfaces in the 3-dimensional Galilean space satisfying ΔII xi = λixi
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus10
rdl.citation.wos10
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)