ALMOST CONFORMAL RICCI SOLITONS ON LP-SASAKIAN MANIFOLDS

The object of the present paper is to classify almost conformal Ricci solitons on Lorentzian para-Sasakian manifolds. In this paper, we prove that such manifolds with infinitesimal contact vector field V is η-Einstein and the scalar curvature of the manifold is constant, where V is potential vector field. Moreover, we show that an almost conformal Ricci soliton on Lorentzian para-Sasakian manifold becomes a conformal Ricci soliton and it is shrinking, steady or expanding according as the dimension of the manifold is greater than 3 or equal to 3 or less than 3. Also we prove that V is strictly infinitesimal contact vector field.