Construction of Einstein metrics by generalized Dehn filling

DOI10.4171/JEMS/321zbMath1250.53042arXiv0911.4730OpenAlexW1989100497MaRDI QIDQ2428721

Richard H. Bamler

Publication date: 20 April 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4730

zbMATH Keywords

Dehn surgeryEinstein metricsDehn fillinghyperbolic manifoldshyperbolic cuspEinstein deformationscusp deformations

Mathematics Subject Classification ID

Related Items (11)

On the impossibility of four-dimensional complex-hyperbolic Einstein Dehn filling ⋮ Hyperbolic four-manifolds with one cusp ⋮ Non-compact Einstein manifolds with symmetry ⋮ Geometry. Abstracts from the workshop held June 12--18, 2022 ⋮ Families of degenerating Poincaré-Einstein metrics on \(\mathbb{R}^4\) ⋮ Examples of compact Einstein four-manifolds with negative curvature ⋮ Hyperbolic 4‐manifolds, colourings and mutations ⋮ A small closed convex projective 4-manifold via Dehn filling ⋮ Stability of symmetric spaces of noncompact type under Ricci flow ⋮ Noncollapsed degeneration of Einstein 4-manifolds. II ⋮ Gluing Eguchi‐Hanson Metrics and a Question of Page

Cites Work

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• Universal bounds for hyperbolic Dehn surgery
• Dehn filling and Einstein metrics in higher dimensions
• The static, cylindrically symmetric strings in general relativity with cosmological constant

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