Gluing Eguchi‐Hanson Metrics and a Question of Page

DOI10.1002/cpa.21678zbMath1457.53025arXiv1405.0056OpenAlexW2963579015MaRDI QIDQ5274873

Simon Brendle, Nikolaos Kapouleas

Publication date: 6 July 2017

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0056

zbMATH Keywords

Ricci curvatureRicci flowEinstein metricsK3 surfaceRicci flat Kähler metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Realizing cycles by submanifolds (57R95) Einstein equations (35Q76)

Related Items (11)

Global dynamics of asymptotically locally AdS spacetimes with negative mass ⋮ Ancient solutions of the Ricci flow on bundles ⋮ The collapsing geometry of almost Ricci-flat 4-manifolds ⋮ Existence of mean curvature flow singularities with bounded mean curvature ⋮ Global stability of spacetimes with supersymmetric compactifications ⋮ Kummer-type constructions of almost Ricci-flat 5-manifolds ⋮ Supersymmetry, Ricci flat manifolds and the string landscape ⋮ Noncollapsed degeneration of Einstein 4-manifolds. II ⋮ Dynamical (in)stability of Ricci-flat ALE metrics along the Ricci flow ⋮ Atiyah classes and the essential obstructions in deforming a singular \(G_2\)-instanton ⋮ On the Ricci flow of homogeneous metrics on spheres

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