A Study on Lorentzian $\alpha -$Sasakian Manifolds

Year 2019, Volume: 7 Issue: 2, 324 - 332, 15.10.2019

Rajendra Prasad , Shashikant Pandey Sandeep Kumar Verma , Sumeet Kumar

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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