9 citations · 17 across the 7 of their papers we have counts for
9 papers
Non dégénérescence et singularités des métriques d'Einstein asymptotiquement hyperboliques en dimension 4
Olivier Biquard
We prove that desingularizations of non degenerate Poincaré-Einstein metrics with A1 singularities remain non degenerate. In principle this enables a recursive procedure to desingu…
Métriques hyperkählériennes pliées
Olivier Biquard
N. Hitchin recently introduced the notion of folded hyperKähler metrics, in relation with SL(\infty,R) Higgs bundles. We provide a construction of such metrics, and prove the local…
Desingularisation de metriques d'Einstein. II
Olivier Biquard
We calculate a wall crossing formula for 4-dimensional Poincare-Einstein metrics, through a wall made of orbifold Poincare-Einstein metrics with A1 singularities. This is based on…
Désingularisation de métriques d'Einstein. I
Olivier Biquard
We find a new obstruction for a real Einstein 4-orbifold with an A1-singularity to be a limit of smooth Einstein 4-manifolds. The obstruction is a curvature condition at the singul…
Analyse sur un demi-espace hyperbolique et poly-homogeneite locale
Olivier Biquard, Marc Herzlich
We prove local polyhomogeneity of asymptotically real or complex hyperbolic Einstein metrics, with application to unique continuation problems.
Continuation unique a partir de l'infini conforme pour les metriques d'Einstein
Olivier Biquard
We prove the unique continuation property at the conformal infinity for asymptotically hyperbolic Einstein metrics.