The ambient metric
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…
Read More ↓Title Statements
- Full title :The ambient metric / Charles Fefferman, C. Robin Graham.
Summary
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 ambien.
Read More ↓Edition Statements
- Publication Date:2012.
Publication Statements
- Publisher(s):Princeton University Press
- Place of Publication:Princeton, N.J
- Language:eng
- Publication Date:2012.
The Physical Object
- Description:Online-Ressource
Edition Identifiers
- ISBN:9780691153131, 0691153132, 9780691153148, 0691153140, 9781283290951, 1283290952, 9781400840588, 1400840589
- oclc:ocn857967829
- LC Classification:QA609
- Dewey Decimal:516.3/7
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