Parabolic geometries as conformal infinities of Einstein metrics

Olivier Biquard and Rafe Mazzeo

Address.
Olivier Biquard, Universit\'{e} Louis Pasteur, Strasbourg, France
Rafe Mazzeo, Stanford University, USA

E-mail.
Olivier.Biquard@math.u-strasbg.fr
mazzeo@math.stanford.edu

Abstract.
The study of Einstein metrics is a central area of research in geometry and analysis, for both mathematical and physical reasons. The simplest examples of Einstein metrics are symmetric spaces. In this article, we study symmetric spaces of noncompact type and their Einstein deformations in the spirit of the physical AdS/CFT correspondence, i.e. focusing on the relationship between Einstein metrics and (generalized) conformal structures on the boundary at infinity.