Some results on Invariant Hypersurfaces of LP-Sasakian Manifolds

We investigate invariant hypersurfaces of Lorentzian para-Sasakian (LP-Sasakian) manifolds. Let be an LP-Sasakian manifold and an invariant hypersurface. We show that the induced structure on is an almost para-contact metric structure and derive basic relations between the second fundamental form, the shape operator and the structure tensor