Singular Minimal Surfaces which are Minimal

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dc.contributor.authorAydın, Muhittin Evren
dc.contributor.authorErdur Kara, Ayla
dc.contributor.authorErgüt, Mahmut
dc.date.accessioned2024-10-29T17:43:35Z
dc.date.available2024-10-29T17:43:35Z
dc.date.issued2021
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractIn the present paper, we discuss the singular minimal surfaces in Euclidean 3?space ?3 which are minimal. Such a surface is nothing but a plane, a trivial outcome. However, a non-trivial outcome is obtained when we modify the usual condition of singular minimality by using a special semi-symmetric metric connection instead of the Levi-Civita connection on ?3. With this new connection, we prove that, besides planes, the singular minimal surfaces which are minimal are the generalized cylinders, providing their explicit equations. A trivial outcome is observed when we use a special semi-symmetric non-metric connection. Furthermore, our discussion is adapted to the Lorentz-Minkowski 3-space. © 2021, Emrah Evren KARA. All rights reserved.
dc.identifier.doi10.32323/ujma.984462
dc.identifier.endpage146
dc.identifier.issn2619-9653
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85175657327
dc.identifier.scopusqualityN/A
dc.identifier.startpage136
dc.identifier.urihttps://doi.org/10.32323/ujma.984462
dc.identifier.urihttps://hdl.handle.net/20.500.11776/12499
dc.identifier.volume4
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherEmrah Evren KARA
dc.relation.ispartofUniversal Journal of Mathematics and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMinimal surface
dc.subjectSemi-symmetric connection
dc.subjectSingular minimal surface
dc.subjectTranslation surface
dc.titleSingular Minimal Surfaces which are Minimal
dc.typeArticle

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