Desingularisation of Einstein metrics. I

DOI10.1007/s00222-012-0410-7zbMath1275.53041arXiv1105.4904OpenAlexW2000033405WikidataQ116278215 ScholiaQ116278215MaRDI QIDQ1949230

Olivier Biquard

Publication date: 6 May 2013

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4904

zbMATH Keywords

Einstein manifoldasymptotically hyperbolic metricEinstein orbifolddesingularisation of Einstein orbifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (20)

Desingularisation of Einstein metrics. II ⋮ Global dynamics of asymptotically locally AdS spacetimes with negative mass ⋮ Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds ⋮ A variational approach to Liouville equations ⋮ The Calabi metric and desingularization of Einstein orbifolds ⋮ Global stability of spacetimes with supersymmetric compactifications ⋮ Topology of asymptotically conical Calabi-Yau and \(G_2\) manifolds and desingularization of nearly Kähler and nearly \(G_2\) conifolds ⋮ Integrability of Einstein deformations and desingularizations ⋮ Families of degenerating Poincaré-Einstein metrics on \(\mathbb{R}^4\) ⋮ The rigidity of Ricci shrinkers of dimension four ⋮ C-projective symmetries of submanifolds in quaternionic geometry ⋮ Limits of Riemannian 4-manifolds and the symplectic geometry of their twistor spaces ⋮ On singular Liouville equations and systems ⋮ On non-degeneracy and singularities of asymptotic hyperbolic Einstein metrics in dimension 4 ⋮ Critical metrics on connected sums of Einstein four-manifolds ⋮ Asymptotically conical Calabi-Yau metrics on quasi-projective varieties ⋮ Noncollapsed degeneration of Einstein 4-manifolds. I ⋮ Noncollapsed degeneration of Einstein 4-manifolds. II ⋮ Atiyah classes and the essential obstructions in deforming a singular \(G_2\)-instanton ⋮ Gluing Eguchi‐Hanson Metrics and a Question of Page

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• Wormholes in ACH Einstein manifolds
• Inhomogeneous Einstein metrics on complex line bundles
• Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds

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