Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondence
Differential Geometry
2018-03-29 v1 Complex Variables
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 Poincar\'e-Einstein metrics and conformal structures. We mainly discuss existence theorems, and propose several open problems.
Keywords
Cite
@article{arxiv.1803.10380,
title = {Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondence},
author = {Yoshihiko Matsumoto},
journal= {arXiv preprint arXiv:1803.10380},
year = {2018}
}
Comments
9 pages. Contribution to the proceedings volume of the KSCV12 Symposium