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Construction of an A-manifold on a principal torus bundleAbstract: We construct a new example of an A-manifold, i.e. a Riemannian manifold with cyclic-parallel Ricci tensor. This condition can be viewed as a generalization of the Einstein condition. The underlying manifold for our construction is a principal torus bundle over K hler-Einstein manifold with fibre a torus of arbitrary dimension.
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