Abstract:
In this paper, we study f-biharmonic curves as the critical points of the f-bienergy functional. W give necessary and sufficient conditions for a curve having a timelike binormal vector lying on a 4-dimensional conformally flat, quasi-conformally flat and conformally symmetric Lorentzian para-Sasakian manifold to be an f-biharmonic curve. Moreover, we introduce proper f-billarmonie curves on the Lorentzian sphere S-1(4).
