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Construction of Conformally Compact Einstein Manifolds
- 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
- Subjects :
- Mathematics - Differential Geometry
Mathematical Physics
53C25
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0908.1430
- Document Type :
- Working Paper