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In the present note we have introduced a new concept called generalized η-Einstein manifold in a 3-dimensional trans-Sasakian manifold and have given some preliminary ideas about the same. Inthe next section some geometric properties about this manifold have been deduced. Finally we havejustified the existence of such a manifold by citing an example.doi:10.18052/www.scipress.com/atmath.2.28 fatcat:uylk52g2kfet7iisksgvhob23i