An error was encountered while trying to add the item to the cart. Please try again.
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Asymptotically Symmetric Einstein Metrics

Olivier Biquard Université Louis Pasteur et CNRS, Strasbourg Cedex, France
A co-publication of the AMS and the Société Mathématique de France
Available Formats:
Softcover ISBN: 978-0-8218-3166-3
Product Code: SMFAMS/13
List Price: $45.00 MAA Member Price:$40.50
AMS Member Price: $36.00 Click above image for expanded view Asymptotically Symmetric Einstein Metrics Olivier Biquard Université Louis Pasteur et CNRS, Strasbourg Cedex, France A co-publication of the AMS and the Société Mathématique de France Available Formats:  Softcover ISBN: 978-0-8218-3166-3 Product Code: SMFAMS/13  List Price:$45.00 MAA Member Price: $40.50 AMS Member Price:$36.00
• Book Details

SMF/AMS Texts and Monographs
Volume: 132006; 105 pp
MSC: Primary 53; 32;

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.

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.

• Request Review Copy
Volume: 132006; 105 pp
MSC: Primary 53; 32;

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.

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

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