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The Ambient Metric (AM-178)
Charles Fefferman
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Description for The Ambient Metric (AM-178)
Paperback. Develops and applies a theory of the ambient metric in conformal geometry. This title includes the derivation of the ambient obstruction tensor and an analysis of the cases of conformally flat and conformally Einstein spaces. It concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature. Series: Annals of Mathematics Studies. Num Pages: 128 pages, black & white illustrations. BIC Classification: PBMW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 233 x 156 x 10. Weight in Grams: 204.
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 Poincar 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 obstruction tensor and ... Read more
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 Poincar 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 obstruction tensor and ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Princeton University Press United States
Number of pages
128
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
128
Place of Publication
New Jersey, United States
ISBN
9780691153148
SKU
V9780691153148
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Charles Fefferman
Charles Fefferman is the Herbert E. Jones, Jr., '43 University Professor of Mathematics at Princeton University. C. Robin Graham is professor of mathematics at the University of Washington.
Reviews for The Ambient Metric (AM-178)
"[T]his careful exposition has been well worth the wait!"
Michael G. Eastwood, Mathematical Reviews Clippings "It is concise, but detailed, accurate, and comprehensive in its treatment of the topics it covers, including their technical details. The book will be of interest to anyone working in, or using, conformal geometry or closely related structures for mathematics, theoretical physics, or physical applications."
Rod Gover, ... Read more
Michael G. Eastwood, Mathematical Reviews Clippings "It is concise, but detailed, accurate, and comprehensive in its treatment of the topics it covers, including their technical details. The book will be of interest to anyone working in, or using, conformal geometry or closely related structures for mathematics, theoretical physics, or physical applications."
Rod Gover, ... Read more