A Study on Lorentzian $\alpha -$Sasakian Manifolds

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Konuralp Journal of Mathematics
Volume:7 Issue:2
A Study on Lorentzian $\alpha -$Sasakian Manifolds

A Study on Lorentzian $\alpha -$Sasakian Manifolds

Authors : Rajendra PRASAD, Shashikant PANDEY, Sandeep Kumar VERMA, Sumeet KUMAR

Pages : 324-332

View : 22 | Download : 11

Publication Date : 2019-10-15

Article Type : Research Paper

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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