The Ambient Metric (AM-178).

This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the co...

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Bibliographic Details
Main Author: Fefferman, Charles
Other Authors: Graham, C. Robin
Format: eBook
Language:English
Published: Princeton : Princeton University Press, 2011.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Fefferman, Charles. 
245 1 4 |a The Ambient Metric (AM-178). 
260 |a Princeton :  |b Princeton University Press,  |c 2011. 
300 |a 1 online resource (124 pages) 
336 |a text  |b txt  |2 rdacontent 
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505 0 |a Cover; Title; Copyright; Contents; Chapter 1. Introduction; Chapter 2. Ambient Metrics; Chapter 3. Formal Theory; Chapter 4. Poincaré Metrics; Chapter 5. Self-dual Poincaré Metrics; Chapter 6. Conformal Curvature Tensors; Chapter 7. Conformally Flat and Conformally Einstein Spaces; Chapter 8. Jet Isomorphism; Chapter 9. Scalar Invariants; Bibliography; Index. 
520 |a This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient o. 
588 0 |a Print version record. 
650 0 |a Conformal geometry. 
650 0 |a Conformal invariants. 
650 0 |a Geometry. 
650 0 |a Mathematics  |x Geometry  |x Analytic. 
650 0 |a Mathematics. 
650 0 |a Metric spaces. 
650 7 |a geometry.  |2 aat 
650 7 |a Conformal geometry  |2 fast 
650 7 |a Conformal invariants  |2 fast 
650 7 |a Geometry  |2 fast 
650 7 |a Mathematics  |2 fast 
650 7 |a Metric spaces  |2 fast 
700 1 |a Graham, C. Robin. 
776 0 8 |i Print version:  |a Fefferman, Charles.  |t Ambient Metric (AM-178).  |d Princeton : Princeton University Press, ©2011  |z 9780691153148 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=784515  |y Click for online access 
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