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Journal Articles Geometry & Topology Monographs Year : 2022

Noncollapsed degeneration of Einstein 4–manifolds, II

Abstract

In this second article, we prove that any desingularization in the Gromov-Hausdorff sense of an Einstein orbifold by smooth Einstein metrics is the result of a gluingperturbation procedure that we develop. This builds on our first paper where we proved that a Gromov-Hausdorff convergence implied a much stronger convergence in suitable weighted Hölder spaces, in which the analysis of the present paper takes place.
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Dates and versions

hal-04011620 , version 1 (02-03-2023)

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Tristan Ozuch. Noncollapsed degeneration of Einstein 4–manifolds, II. Geometry & Topology Monographs, 2022, 26 (4), pp.1529-1634. ⟨10.2140/gt.2022.26.1529⟩. ⟨hal-04011620⟩
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