On a class of Lorentzian para-Sasakian manifold

Abstract

We classify Lorentzian para-Sasakian manifolds which satisfy P ¢ C = 0, Z ¢ C = LCQ(g;C); P ¢ Z i Z ¢ P = 0, and P ¢ Z + Z ¢ P = 0; where P is the viWeyl projective tensor, Z is the concircular tensor, and C is the Weyl conformal curvature tensor.