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Poincaŕe-Einstein holography for forms via conformal geometry in the bulk /
| Call Number: | Libro Electrónico |
|---|---|
| Main Authors: | , , |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
2014.
|
| Series: | Memoirs of the American Mathematical Society ;
Volume 235, no. 1106 (first of 5 numbers) |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Cover
- Title page
- Chapter 1. Introduction
- Chapter 2. Bulk conformal geometry and extension problems
- 2.1. Riemannian conventions
- 2.2. Conformal and almost Riemannian geometry
- 2.3. Extension problems
- 2.4. The generalised divergence extension problem
- 2.5. Conformal tractor calculus
- 2.6. The calculus of scale
- 2.7. The Laplace�Robin solution generating algebra
- 2.8. Product solutions
- Chapter 3. Tractor exterior calculus
- 3.1. Algebra of invariant operators
- 3.2. Algebra of differential splitting operators
- 3.3. Conformally invariant equations and the cohomology of the Thomas -operatorChapter 4. The exterior calculus of scale
- 4.1. Poincaré�Einstein structures
- 4.2. Boundary tractors
- 4.3. Boundary conditions for tractor forms
- 4.4. Holographic boundary projectors
- Chapter 5. Higher form Proca equations
- 5.1. Solution generating operators for differential forms
- 5.2. The product solution
- 5.3. Solutions in Graham�Lee normal form
- Chapter 6. Obstructions, detours, gauge operators and -curvature
- 6.1. Detour and gauge operators
- 6.2. True forms6.3. Fundamental holographic identities
- Appendix A. The ambient manifold
- Appendix B. List of common symbols
- Bibliography
- Back Cover