On weak biharmonic submanifolds and 2-parallelity

dc.authorid0000-0002-1237-5892
dc.authorid0000-0002-1440-7050
dc.authorid0000-0002-2273-3243
dc.contributor.authorBayram, Bengü
dc.contributor.authorArslan, Kadri
dc.contributor.authorLümiste, Ülo
dc.contributor.authorMurathan, Cengizhan
dc.date.accessioned2026-01-26T11:11:03Z
dc.date.issued2003
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.descriptionBayram, Bengü (Balikesir Author)
dc.description.abstractIt is shown that every locally Euclidean 2-parallel submanifold of a space form has harmonic curvature vector (i.e., is weak biharmonic). In four-dimensional Euclidean space, in the class of surfaces with flat connection ∇, whose one family of curvature lines consists of geodesics, a surface is weak biharmonic if and only if it is 2-parallel.
dc.identifier.endpage48
dc.identifier.issn1454-511X
dc.identifier.issue1
dc.identifier.startpage39
dc.identifier.urihttps://hdl.handle.net/20.500.12462/22754
dc.identifier.volume5
dc.language.isoen
dc.publisherBalkan Society of Geometers, Geometry Balkan Press
dc.relation.ispartofDifferential Geometry Dynamical Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMean Curvature Vector Field
dc.subjectParallel Third Fundamental Form
dc.titleOn weak biharmonic submanifolds and 2-parallelity
dc.typeArticle

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