Biharmonic hypersurfaces of LP-Sasakian manifolds

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dc.authorscopusid55344791100
dc.authorscopusid15069472600
dc.authorscopusid6701338026
dc.contributor.authorPerkta S.Y.
dc.contributor.authorKiliç E.
dc.contributor.authorKeleş S.
dc.date.accessioned2024-08-04T20:00:52Z
dc.date.available2024-08-04T20:00:52Z
dc.date.issued2011
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper the biharmonic hypersurfaces of Lorentzian para-Sasakian manifolds are studied. We firstly find the biharmonic equation for a hypersurface which admits the characteristic vector field of the Lorentzian para-Sasakian as the normal vector field. We show that a biharmonic spacelike hypersurface of a Lorentzian para-Sasakian manifold with constant mean curvature is minimal. The biharmonicity condition for a hypersurface of a Lorentzian para-Sasakian manifold is investigated when the characteristic vector field belongs to the tangent hyperplane of the hypersurface. We find some necessary and sufficient conditions for a timelike hypersurface of a Lorentzian para-Sasakian manifold to be proper biharmonic. The nonexistence of proper biharmonic timelike hypersurfaces with constant mean curvature in a Ricci flat Lorentzian para-Sasakian manifold is proved.en_US
dc.identifier.doi10.2478/v10157-011-0034-z
dc.identifier.endpage408en_US
dc.identifier.issn1221-8421
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84865422223en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage387en_US
dc.identifier.urihttps://doi.org/10.2478/v10157-011-0034-z
dc.identifier.urihttps://hdl.handle.net/11616/91041
dc.identifier.volume57en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniversitatii Al.I.Cuza din Iasien_US
dc.relation.ispartofAnalele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBiharmonic hypersurfacesen_US
dc.subjectBiharmonic mapsen_US
dc.subjectLorentzian para-Sasakian manifoldsen_US
dc.titleBiharmonic hypersurfaces of LP-Sasakian manifoldsen_US
dc.typeArticleen_US

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