Semi-symmetric metric connections on pseudosymmetric Lorentzian α-Sasakian manifolds

Abstract

We consider semi-symmetric metric connections on pseudosymmetric Lorentzian α-Sasakian manifolds. We study some properties of Weyl pseudosymmetric and Ricci pseudosymmetric Lorentzian α-Sasakian manifolds. We also give an example of a pseudosymmetric Lorentzian α-Sasakian manifold with a semi-symmetric metric connection.