BIHARMONIC HYPERSURFACES OF LP-SASAKIAN MANIFOLDS

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dc.authoridKILIC, Erol/0000-0001-7536-0404
dc.authorwosidKILIC, Erol/ABH-7615-2020
dc.contributor.authorPerktas, Selcen Yuksel
dc.contributor.authorKilic, Erol
dc.contributor.authorKeles, Sadik
dc.date.accessioned2024-08-04T20:57:14Z
dc.date.available2024-08-04T20:57:14Z
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.endpage408en_US
dc.identifier.issn1221-8421
dc.identifier.issn2344-4967
dc.identifier.issue2en_US
dc.identifier.startpage387en_US
dc.identifier.urihttps://hdl.handle.net/11616/102471
dc.identifier.volume57en_US
dc.identifier.wosWOS:000299760100014en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherAlexandru Ioan Cuza Univ Press, Alexandru Ioan Cuza Univ Iasien_US
dc.relation.ispartofAnalele Stiintifice Ale Universitatii Al I Cuza Din Iasi-Serie Noua-Matematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectbiharmonic mapsen_US
dc.subjectbiharmonic hypersurfacesen_US
dc.subjectLorentzian para-Sasakian manifoldsen_US
dc.titleBIHARMONIC HYPERSURFACES OF LP-SASAKIAN MANIFOLDSen_US
dc.typeArticleen_US

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