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arXiv · 1704.05389

Non d\'eg\'en\'erescence et singularit\'es des m\'etriques d'Einstein asymptotiquement hyperboliques en dimension 4

Olivier Biquard
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Abstract

We prove that desingularizations of non degenerate Poincar\'e-Einstein metrics with A1 singularities remain non degenerate. In principle this enables a recursive procedure to desingularize the other Fuchsian singularities. We illustrate this procedure by the A2 case.

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Olivier Biquard. 2017-04-18. Non d\'eg\'en\'erescence et singularit\'es des m\'etriques d'Einstein asymptotiquement hyperboliques en dimension 4. https://arxiv.org/abs/1704.05389

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