Anti-invariant submanifolds of locally decomposable golden Riemannian manifolds

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dc.authorscopusid57214988242
dc.authorscopusid15069472600
dc.authorscopusid6701338026
dc.contributor.authorGök M.
dc.contributor.authorKiliç E.
dc.contributor.authorKeleş S.
dc.date.accessioned2024-08-04T20:00:52Z
dc.date.available2024-08-04T20:00:52Z
dc.date.issued2020
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we give some properties of anti-invariant submanifolds of a golden Riemannian manifold. We obtain some necessary conditions for any submanifold in a locally decomposable golden Riemannian manifold to be anti-invariant. In these conditions, we also show that the submanifold is totally geodesic. We find a local orthonormal frame for the normal bundle of any anti-invariant submanifold of a locally decomposable golden Riemannian manifold. Finally, we demonstrate the existence of unit and mutually orthogonal normal vector fields such that their corresponding second fundamental tensors vanish identically under the assumption that the codimension of the anti-invariant submanifold is greater than its dimension. © Balkan Society of Geometers, Geometry Balkan Press 2020.en_US
dc.identifier.endpage60en_US
dc.identifier.issn1224-2780
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85092383151en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage47en_US
dc.identifier.urihttps://hdl.handle.net/11616/91048
dc.identifier.volume25en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherBalkan Society of Geometersen_US
dc.relation.ispartofBalkan Journal of Geometry and its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnti-invariant submanifolden_US
dc.subjectGolden riemannian manifolden_US
dc.subjectGolden structureen_US
dc.titleAnti-invariant submanifolds of locally decomposable golden Riemannian manifoldsen_US
dc.typeArticleen_US

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