On Generalized Constant Ratio Surfaces of Higher Codimension

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dc.authorid0000-0002-0171-3876
dc.authorid0000-0003-2528-2131
dc.authorscopusid36613138400
dc.authorscopusid54883680200
dc.authorscopusid7801537372
dc.authorwosidErgüt, Mahmut/ABA-3553-2020
dc.authorwosidKelleci, Alev/W-5678-2018
dc.contributor.authorKelleci, Alev
dc.contributor.authorTurgay, Nurettin Cenk
dc.contributor.authorErgüt, Mahmut
dc.date.accessioned2022-05-11T14:31:25Z
dc.date.available2022-05-11T14:31:25Z
dc.date.issued2019
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, we introduce constant slope (CS) and generalized constant ratio (GCR) submanifolds with higher codimension in Euclidean spaces. We firstly obtain a classification of GCR surfaces in Euclidean 4-spaces E4. Then, we get complete local classification of CS surfaces in E4. We also study GCR surfaces in terms of some of its geometrical invariants.
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)
dc.description.sponsorshipThis paper is a part of Ph.D. thesis of the first named author who was supported by The Scientific and Technological Research Council of Turkey (TUBITAK) as a Ph.D. scholar.
dc.identifier.doi10.1007/s00009-019-1376-0
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85067839729
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00009-019-1376-0
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7441
dc.identifier.volume16
dc.identifier.wosWOS:000472538000013
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorErgüt, Mahmut
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofMediterranean Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectEuclidean spaces
dc.subjectgeneralized constant ratio submanifolds
dc.subjectconstant slope surfaces
dc.subjectposition vector
dc.subjectcanonical principal direction
dc.subjectMinkowski
dc.subjectClassification
dc.subjectSubmanifolds
dc.titleOn Generalized Constant Ratio Surfaces of Higher Codimension
dc.typeArticle

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