Desingularisation de metriques d'Einstein. II

• 成果类型: Article
• 署名作者: Biquard, Olivier
• 署名单位: Sorbonne Universite; Universite PSL; Ecole Normale Superieure (ENS); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-015-0619-3
• 发表日期: 2016
• 页码: 473-504
• 关键词: prescribed conformal infinity; einstein-metrics

摘要

We calculate a wall crossing formula for 4-dimensional Poincare-Einstein metrics, through a wall made of orbifold Poincare-Einstein metrics with singularities. This is based on a formalism which enables to deal with higher order terms of the Einstein equation in this setting. Some other consequences are deduced.