**SMF/AMS Texts and Monographs**

Volume: 13;
2006;
105 pp;
Softcover

MSC: Primary 53; 32;
**Print ISBN: 978-0-8218-3166-3
Product Code: SMFAMS/13**

List Price: $42.00

Individual Member Price: $33.60

#### Supplemental Materials

# Asymptotically Symmetric Einstein Metrics

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*Olivier Biquard*

A co-publication of the AMS and Société Mathématique de France

The correspondence between Einstein metrics and
their conformal boundaries has recently been the focus of great
interest. This is particularly so in view of the relation with the
physical theory of the AdS/CFT correspondence.

In this book, this correspondence is seen in the wider context of
asymptotically symmetric Einstein metrics, that is Einstein metrics whose
curvature is asymptotic to that of a rank one symmetric space. There is
an emphasis on the correspondence between Einstein metrics and geometric
structures on their boundary at infinity: conformal structures, CR
structures, and quaternionic contact structures introduced and studied in
the book.

Two new constructions of such Einstein metrics are
given, using two different kinds of techniques:

- analytic methods to construct complete Einstein metrics, with a unified treatment of all rank one symmetric spaces, relying on harmonic analysis;
- algebraic methods (twistor theory) to construct local solutions of the Einstein equation near the boundary.

Titles in this series are co-published with Société Mathématique de France. SMF members are entitled to AMS member discounts.

#### Table of Contents

# Table of Contents

## Asymptotically Symmetric Einstein Metrics

#### Readership

Graduate students and research mathematicians interested in differential geometry, global analysis, and Einstein metrics.

#### Reviews

The book brings together new and important results in a modern field of mathematics.

-- European Mathematical Society Newsletter