Generalized rotation surfaces in E4 with density

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dc.contributor.authorKazan, Ahmet
dc.contributor.authorAltin, Mustafa
dc.contributor.authorYoon, Dae Won
dc.date.accessioned2026-06-19T06:39:56Z
dc.date.available2026-06-19T06:39:56Z
dc.date.issued2023
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description.abstractIn the present paper, we obtain the weighted mean and weighted Gaussian curvatures of a generalized rotation surface in E4 with density e lambda 1x2+lambda 2y2+lambda 3z2+lambda 4t2, where lambda i, i is an element of {1, 2, 3, 4}, are not all zero and we give some results about weighted minimal and weighted flat generalized rotation surface in E4 with density e lambda(x2+y2)+mu(z2+t2), where lambda and mu are not all zero. Also, we obtain the weighted mean and weighted Gaussian curvatures of Klein bottle, Banchoff surface, Vranceanu rotation surface, and Clifford torus, which are examples of generalized rotation surfaces, in E4 with density e lambda(x2+y2)+mu(z2+t2) and give some results for their minimality and flatness.(c) 2023 Elsevier B.V. All rights reserved.
dc.identifier.doi10.1016/j.geomphys.2023.104770
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.scopus2-s2.0-85147695259
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.geomphys.2023.104770
dc.identifier.urihttps://hdl.handle.net/20.500.12899/5865
dc.identifier.volume186
dc.identifier.wosWOS:000953410000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofJournal of Geometry and Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260612
dc.subjectGeneralized Rotation Surface
dc.subjectDensity
dc.subjectWeighted Mean Curvature
dc.subjectWeighted Gaussian Curvature
dc.titleGeneralized rotation surfaces in E4 with density
dc.typeArticle

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