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Construction of an A-manifold on a principal torus bundle

By Grzegorz Zborowski

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 K\"ahler-Einstein manifold a with fibre a torus of arbitrary dimension

Topics: Mathematics - Differential Geometry, 53C25
Year: 2012
OAI identifier: oai:arXiv.org:1205.7077

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