Asymptotically Symmetric Einstein Metrics (Paperback, Illustrated Ed)

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.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	SMF/AMS Texts & Monographs
Release date:	October 2006
Dimensions:	7mm (H)
Format:	Paperback
Pages:	105
Edition:	Illustrated Ed
ISBN-13:	978-0-8218-3166-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Promotions
LSN:	0-8218-3166-6
Barcode:	9780821831663

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