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arXiv · 0908.1430

Construction of Conformally Compact Einstein Manifolds

Dezhong Chen
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Abstract

We produce some explicit examples of conformally compact Einstein manifolds, whose conformal compactifications are foliated by Riemannian products of a closed Einstein manifold with the total space of a principal circle bundle over products of Kahler-Einstein manifolds. We compute the associated conformal invariants, i.e., the renormalized volume in even dimensions and the conformal anomaly in odd dimensions. As a by-product, we obtain some Riemannian products with vanishing Q-curvature.

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Dezhong Chen. 2009-10-27. Construction of Conformally Compact Einstein Manifolds. https://arxiv.org/abs/0908.1430

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