A-manifolds on a principal torus bundle over an almost Hodge A-manifold base

Grzegorz Zborowski

Abstract


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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References


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DOI: http://dx.doi.org/10.17951/a.2015.69.1.109
Date of publication: 2015-11-30 09:21:12
Date of submission: 2015-09-03 13:35:09


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