Geodesic
A-manifolds on a principal torus bundle over an almost Hodge A-manifold base
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 69 (2015) no. 1.

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An A-manifold is a manifold whose Ricci tensor is cyclic-parallel, equivalently it satisfies ∇X Ric(X, X) = 0. This condition generalizes the Einstein condition. We construct new examples of A-manifolds on r-torus bundles over a base which is a product of almost Hodge A-manifolds.
Keywords: A-manifold, cyclic parallel Ricci, torus bundle, Einstein-like manifold, Killing tensor 
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Zborowski, Grzegorz. A-manifolds on a principal torus bundle over an almost Hodge A-manifold base. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 69 (2015) no. 1. http://geodesic.mathdoc.fr/item/AUM_2015_69_1_a1/

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