Comparison Between Conformal Invariants for Conformally Compact Einstein Metrics: Some Counter-Example from the Metrics Developed by Pedersen

DOI10.4208/jms.v56n4.23.04OpenAlexW4390520357MaRDI QIDQ6121367

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Publication date: 26 February 2024

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v56n4.23.04

zbMATH Keywords

renormalized volumeconformally compact Einstein manifoldsBerger sphere at infinityYamabe-Escobar constant

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Integration on manifolds; measures on manifolds (58C35) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Cites Work

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• Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metrics
• Einstein metrics, spinning top motions and monopoles
• The large \(N\) limit of superconformal field theories and supergravity
• The spectrum of an asymptotically hyperbolic Einstein manifold
• Non-existence of Poincaré-Einstein manifolds with prescribed conformal infinity
• \(L^2\) curvature and volume renormalization of AHE metrics on 4-manifolds

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