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

• Main Author: Juhl, Andreas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Progress in Mathematics ; 275
• Subjects: Mathematics.; Topological groups.; Lie groups.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Physics.; Differential Geometry.; Topological Groups, Lie Groups.; Global Analysis and Analysis on Manifolds.; Mathematical Methods in Physics.

The central object of the book is a subtle scalar Riemannian curvature quantity in even dimensions which is called Branson’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 determinants of confor...

Table of Contents:

• Spaces, Actions, Representations and Curvature
• Conformally Covariant Powers of the Laplacian, Q-curvature and Scattering Theory
• Paneitz Operator and Paneitz Curvature
• Intertwining Families
• Conformally Covariant Families.