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arXiv · 1803.10380

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

Yoshihiko Matsumoto
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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.

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Yoshihiko Matsumoto. 2018-03-28. Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondence. https://arxiv.org/abs/1803.10380

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