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SMF/AMS Texts and Monographs
2006; 105 pp; softcover
List Price: US$40
Member Price: US$32
Order Code: SMFAMS/13
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:
Titles in this series are co-published with Société Mathématique de France. SMF members are entitled to AMS member discounts.
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."
-- European Mathematical Society Newsletter
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