Asymptotically Symmetric Einstein Metrics

Asymptotically Symmetric Einstein Metrics
Author :
Publisher : American Mathematical Soc.
Total Pages : 116
Release :
ISBN-10 : 0821831666
ISBN-13 : 9780821831663
Rating : 4/5 (66 Downloads)

Book Synopsis Asymptotically Symmetric Einstein Metrics by : Olivier Biquard

Download or read book Asymptotically Symmetric Einstein Metrics written by Olivier Biquard and published by American Mathematical Soc.. This book was released on 2006 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 betweenEinstein 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 toconstruct 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.


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