Families of Conformally Covariant Differential Operators, Q-Curvature and Holography

• Main Author: Juhl, Andreas. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Birkhũser Basel, 2009.
• Series: Progress in Mathematics ; 275
• Subjects: Mathematics.; Topological Groups.; Global analysis.; Global differential geometry.; Mathematical physics.; Differential Geometry.; Topological Groups, Lie Groups.; Global Analysis and Analysis on Manifolds.; Mathematical Methods in Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-9900-9

The central object of the book is a subtle scalar Riemannian curvature quantity in even dimensions which is called Branson<U+0019>s Q-curvature. It was introduced by Thomas Branson about 15 years ago in connection with an attempt to systematise the structure of conformal anomalies of determina...

Table of Contents:

• Preface
• 1. Introduction
• 2. Spaces, Actions, Representations and Curvature
• 3. Powers of the Laplacian, Q-Curvature and Scattering
• 4. Paneitz Operator and Paneitz Curvature
• 5. Intertwining Families
• 6. Conformally Covariant Families
• Bibliography
• Index.