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 Poincare? metric, a metric in n+1 dimensions having the co...
| Main Authors: | , |
|---|---|
| Format: | Electronic Book |
| Language: | English |
| Published: |
Princeton, New Jersey :
Princeton University Press ,
c2012
|
| Series: | Annals of mathematics studies
no. 178 |
| Subjects: |
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