BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.33, sa.2, ss.325-344, 2010 (SCI-Expanded)
In this paper we give necessary and sufficient conditions for space-like and timelike curves in a conformally fiat, quasi conformally flat and conformally symmetric 4-dimensional Lorentzian Para-Sasakian (LP-Sasakian) manifold to be proper biharmonic. Also, we investigate proper biharmonic curves in the Lorentzian sphere S-1(4).