Perkta S.Y.Kiliç E.Keleş S.2024-08-042024-08-0420111221-8421https://doi.org/10.2478/v10157-011-0034-zhttps://hdl.handle.net/11616/91041In 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.eninfo:eu-repo/semantics/openAccessBiharmonic hypersurfacesBiharmonic mapsLorentzian para-Sasakian manifoldsBiharmonic hypersurfaces of LP-Sasakian manifoldsArticle57238740810.2478/v10157-011-0034-z2-s2.0-84865422223Q4