A Study on Lorentzian $\alpha -$Sasakian Manifolds
Authors : Rajendra Prasad, Shashikant Pandey, Sandeep Kumar Verma, Sumeet Kumar
Pages : 324-332
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Publication Date : 2019-10-15
Article Type : Research
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