Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondence

Abstract

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 Poincaré-Einstein metrics and conformal structures. We mainly discuss existence theorems, and propose several open problems.

9 pages. Contribution to the proceedings volume of the KSCV12 Symposium