On Generalized Constant Ratio Surfaces of Higher Codimension

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dc.contributor.authorKelleci, Alev
dc.contributor.authorTurgay, Nurettin Cenk
dc.contributor.authorErguet, Mahmut
dc.date.accessioned2026-08-12T17:49:54Z
dc.date.issued2019
dc.departmentFırat Üniversitesi
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)
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.issue4
dc.identifier.orcid0000-0002-0171-3876
dc.identifier.orcid0000-0003-2528-2131
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/11508/62003
dc.identifier.volume16
dc.identifier.wosWOS:000472538000013
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofMediterranean Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectEuclidean spaces
dc.subjectgeneralized constant ratio submanifolds
dc.subjectconstant slope surfaces
dc.subjectposition vector
dc.subjectcanonical principal direction
dc.titleOn Generalized Constant Ratio Surfaces of Higher Codimension
dc.typeArticle

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