Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondence
classification
🧮 math.DG
math.CV
keywords
metricscomplexcorrespondenceeinsteinstructuresasymptoticallyboundarybulk-boundary
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This is a survey on the correspondence between asymptotically complex hyperbolic Einstein metrics and CR structures on the boundary at infinity, which is the complex version of that between Poincar\'e-Einstein metrics and conformal structures. We mainly discuss existence theorems, and propose several open problems.
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