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 con...
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| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton :
Princeton University Press,
©2012.
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| Series: | Annals of mathematics studies ;
no. 178. |
| Subjects: | |
| Online Access: | Connect to this title online (unlimited users allowed) |
Table of Contents:
- 1. Introduction
- 2. Ambient Metrics
- 3. Formal Theory
- 4. Poincare? Metrics
- 5. Self-dual Poincare? Metrics
- 6. Conformal Curvature Tensors
- 7. Conformally Flat and Conformally Einstein Spaces
- 8. Jet Isomorphism
- 9. Scalar Invariants.