Panoramas et Syntheses
Volume: 26; 2008; 171 pp; Softcover
MSC: Primary 58;
Print ISBN: 978-2-85629-260-0
Product Code: PASY/26
List Price: $55.00
Individual Member Price: $44.00
Opérateurs Géométriques, Invariants Conformes et Variétés Asymptotiquement HyperboliquesShare this page
Zindine Djadli; Colin Guillarmou; Marc Herzlich
A publication of the Société Mathématique de France
In 1985, Fefferman and Graham initiated an ambitious program of study of conformal geometry known as the “ambient metric” method. This program has developed tremendously in the last few years, leading to the definition of a number of new invariants: Graham-Jenne-Mason-Sparling (GJMS) operators generalizing the Yamabe and Paneitz operators, Branson \(Q\)-curvatures … and to remarkable applications to conformally flat manifolds of dimension \(4\) and nonnegative Euler characteristic, or to conformally invariant pinching theorems. An essential role is played in the theory by asymptotically hyperbolic Einstein metrics (or Poincaré-Einstein metrics) associated to a conformal class.
This book is devoted to a presentation of the theory together with a description of the latest developments. It should be accessible to all readers having a basic knowledge of Riemannian geometry.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Table of Contents
Table of Contents
Operateurs Geometriques, Invariants Conformes et Varietes Asymptotiquement Hyperboliques
Graduate students and research mathematicians interested in geometric operators, conformal invariants and asymptotically hyperbolic manifolds.