A Study on Lorentzian $\alpha -$Sasakian Manifolds

Abstract

The object of the present paper is to study the geometric properties of Concircular curvature tensor on Lorentzian $\alpha -$Sasakian manifold admitting a type of quarter-symmetric metric connection. In the last, we provide an example of 3-dimensional Lorentzian $\alpha -$Sasakian manifold endowed with the quarter-symmetric metric connection which is under consideration is an $\eta -$Einstein manifold with respect to the quarter-symmetric metric connection.

Keywords

• Lorentzian $\alpha $-Sasakian manifolds,Quarter-symmetric metric connection,Concircular curvature tensor,$\eta -$Einstein manifold

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