Non dégénérescence et singularités des métriques d’Einstein asymptotiquement hyperboliques en dimension 4
| Autor: | Olivier Biquard |
|---|---|
| Přispěvatelé: | Département de Mathématiques et Applications - ENS Paris (DMA), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Sorbonne Université (SU) |
| Rok vydání: | 2018 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics Mathematics::Complex Variables General Mathematics 010102 general mathematics Degenerate energy levels 16. Peace & justice 01 natural sciences 53C25 Mathematics::Algebraic Geometry [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 0103 physical sciences Gravitational singularity 010307 mathematical physics [MATH]Mathematics [math] 0101 mathematics Differential Geometry Mathematics |
| Zdroj: | Mathematische Annalen Mathematische Annalen, Springer Verlag, 2018, 372 (1-2), pp.531-553. ⟨10.1007/s00208-018-1681-0⟩ |
| ISSN: | 1432-1807 0025-5831 |
| DOI: | 10.1007/s00208-018-1681-0 |
| Popis: | 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. Comment: in French. Typos |
| Databáze: | OpenAIRE |
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