Quarter-symmetric metric connection on a Lorentzian alpha-Sasakian manifold

Abstract

Abstract:In the present paper we study locally φ -symmetric, locally projective φ -symmetric, φ -recurrent and φ -projectively flat Lorentzian α-Sasakian manifold with respect to quarter-symmetric metric connection. Further, the existence of a Lorentzian α-Sasakian manifold admitting quarter-symmetric metric connection is shown by constructing an example.