Construction of Conformally Compact Einstein Manifolds
Differential Geometry
2009-10-27 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0908.1430,
title = {Construction of Conformally Compact Einstein Manifolds},
author = {Dezhong Chen},
journal= {arXiv preprint arXiv:0908.1430},
year = {2009}
}
Comments
40 pages, no figures, add Remark 1.13 and Note added in proof