Affine Factorable Surfaces in Isotropic Spaces

dc.authorid0000-0001-8328-4720
dc.authorwosidErdur Kara, Ayla/ABA-4221-2020
dc.authorwosidErgüt, Mahmut/ABA-3553-2020
dc.contributor.authorAydın, Muhittin Evren
dc.contributor.authorErdur, Ayla
dc.contributor.authorErgüt, Mahmut
dc.date.accessioned2022-05-11T14:32:18Z
dc.date.available2022-05-11T14:32:18Z
dc.date.issued2020
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, we study the problem of finding affine factorable surfaces in a 3-dimensional isotropic space I-3 with prescribed Gaussian (K) or mean (H) curvatures. Because the absolute figure of I-3, by permutation of coordinates two different types of these surfaces appear. We firstly classify the affine factorable surfaces of type 1 with K;H constants. Afterwards, we provide the affine factorable surfaces of type 2 with K = const: or H = 0: Besides in some particular cases, the affine factorable surfaces of type 2 with H = const were obtained.
dc.identifier.endpage88
dc.identifier.issn2076-2585
dc.identifier.issn2219-1259
dc.identifier.issue1en_US
dc.identifier.startpage72
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7444
dc.identifier.volume11
dc.identifier.wosWOS:000530129600005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.institutionauthorErdur, Ayla
dc.institutionauthorErgüt, Mahmut
dc.language.isoen
dc.publisherInst Applied Mathematics
dc.relation.ispartofTwms Journal of Pure and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectIsotropic space
dc.subjectaffine factorable surface
dc.subjectmean curvature
dc.subjectGaussian curvature
dc.subjectMinimal Translation Surfaces
dc.subjectGeometry
dc.subjectEquations
dc.titleAffine Factorable Surfaces in Isotropic Spaces
dc.typeArticle

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