Construction of an A-manifold on a principal torus bundle

Grzegorz Zborowski

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arXiv · 1205.7077

Construction of an A-manifold on a principal torus bundle

Grzegorz Zborowski

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Abstract

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

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Grzegorz Zborowski. 2012-12-26. Construction of an A-manifold on a principal torus bundle. https://arxiv.org/abs/1205.7077

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