The Decomposition of Global Conformal Invariants (AM-182) / / Spyros Alexakis.
This book addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies. The question concerns conformally invariant functionals on the space of Riemannian metrics over a given manifold. Thes...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2012] ©2012 |
| Year of Publication: | 2012 |
| Edition: | Course Book |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
182 |
| Online Access: | |
| Physical Description: | 1 online resource (568 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Acknowledgments
- 1. Introduction
- 2. An Iterative Decomposition of Global Conformal Invariants: The First Step
- 3. The Second Step: The Fefferman-Graham Ambient Metric and the Nature of the Decomposition
- 4. A Result on the Structure of Local Riemannian Invariants: The Fundamental Proposition
- 5. The Inductive Step of the Fundamental Proposition: The Simpler Cases
- 6. The Inductive Step of the Fundamental Proposition: The Hard Cases, Part I
- 7. The Inductive Step of the Fundamental Proposition: The Hard Cases, Part II
- A. Appendix
- Bibliography
- Index of Authors and Terms
- Index of Symbols