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Construction of Conformally Compact Einstein Manifolds

Authors :
Chen, Dezhong
Publication Year :
2009

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.<br />Comment: 40 pages, no figures, add Remark 1.13 and Note added in proof

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0908.1430
Document Type :
Working Paper