Geometric characterizations of canal hypersurfaces in Euclidean spaces

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dc.contributor.authorKazan, Ahmet
dc.contributor.authorAltin, Mustafa
dc.contributor.authorYoon, Dae Won
dc.date.accessioned2026-06-19T06:38:04Z
dc.date.available2026-06-19T06:38:04Z
dc.date.issued2023
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description.abstractIn the present paper, firstly we obtain the general expression of canal hypersurfaces in Euclidean n-space and deal with canal hypersurfaces in Euclidean 4-space E4. We compute Gauss map, Gaussian curvature and mean curvature of canal hypersurfaces in E4 and obtain an important relation between the mean and Gaussian curvatures as 3H rho = K rho 3 - 2. We prove that, the flat canal hypersurfaces in Euclidean 4-space are only circular hypercylinders or circular hypercones and minimal canal hypersurfaces are only generalized catenoids. Also, we state the expression of tubular hypersurfaces in Euclidean spaces and give some results about Weingarten tubular hypersurfaces in E4.
dc.identifier.doi10.2298/FIL2318909K
dc.identifier.endpage5920
dc.identifier.issn0354-5180
dc.identifier.issue18
dc.identifier.scopus2-s2.0-85151834515
dc.identifier.scopusqualityQ2
dc.identifier.startpage5909
dc.identifier.urihttps://doi.org/10.2298/FIL2318909K
dc.identifier.urihttps://hdl.handle.net/20.500.12899/5351
dc.identifier.volume37
dc.identifier.wosWOS:000957672100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260612
dc.subjectCanal Hypersurface
dc.subjectTubular Hypersurface
dc.subjectMean Curvature
dc.titleGeometric characterizations of canal hypersurfaces in Euclidean spaces
dc.typeArticle

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