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

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.

Keywords

• Lorentzian α-Sasakian manifold,quarter-symmetric metric connection,locally ϕ-symmetric,locally projective ϕ-symmetric,ϕ-recurrent

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