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Characterization of a paraSasakian manifold admitting Bach tensor

Characterization of a paraSasakian manifold admitting Bach tensor

In the present article, our aim is to characterize Bach flat paraSasakian manifolds. It is established that a Bach flat paraSasakian manifold of dimension greater than three is of constant scalar curvature. Next, we prove that if the metric of a Bach flat paraSasakian manifold is a Yamabe soliton, then …