Non dégénérescence et singularités des métriques d'Einstein asymptotiquement hyperboliques en dimension 4

Abstract

We prove that desingularizations of non degenerate Poincaré-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.

arXiv commentin French. Typos