On f-Biharmonic Hypersurfaces

Abstract

In the present paper, we study spacelike and timelike f-biharmonic hypersurfaces in Lorentzian para-Sasakian manifolds. We investigate f-biharmonic equations for spacelike hypersurfaces of an Lorentzian para-Sasakian manifold with a constant and harmonic mean curvature. Also we give some results for f-biharmonic timelike hypersurfaces in $\eta$-Einstein Lorentzian para-Sasakian manifolds.