2009/08/11 by Dezhong Chen, Chen, Dezhong
Mathematics · Physics and Astronomy · #53C25 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #msc:53C25
paper · pdf · doi:10.48550/arxiv.0908.1430
40 pages, no figures, add Remark 1.13 and Note added in proof
openalex publication_date 2009/08/11 · arxiv created 2009/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.