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Opérateurs Géométriques, Invariants Conformes et Variétés Asymptotiquement Hyperboliques
 
Zindine Djadli Université Grenoble I, St. Martin d’Heres, France
Colin Guillarmou Université de Nice-Sophia Antipolis, Nice, France
Marc Herzlich Université Montpellier II, Montpellier, France
A publication of the Société Mathématique de France
Operateurs Geometriques, Invariants Conformes et Varietes Asymptotiquement Hyperboliques
Softcover ISBN:  978-2-85629-260-0
Product Code:  PASY/26
List Price: $55.00
AMS Member Price: $44.00
Please note AMS points can not be used for this product
Operateurs Geometriques, Invariants Conformes et Varietes Asymptotiquement Hyperboliques
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Opérateurs Géométriques, Invariants Conformes et Variétés Asymptotiquement Hyperboliques
Zindine Djadli Université Grenoble I, St. Martin d’Heres, France
Colin Guillarmou Université de Nice-Sophia Antipolis, Nice, France
Marc Herzlich Université Montpellier II, Montpellier, France
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-260-0
Product Code:  PASY/26
List Price: $55.00
AMS Member Price: $44.00
Please note AMS points can not be used for this product
  • Book Details
     
     
    Panoramas et Synthèses
    Volume: 262008; 171 pp
    MSC: Primary 58

    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.

    Readership

    Graduate students and research mathematicians interested in geometric operators, conformal invariants and asymptotically hyperbolic manifolds.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 262008; 171 pp
MSC: Primary 58

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.

Readership

Graduate students and research mathematicians interested in geometric operators, conformal invariants and asymptotically hyperbolic manifolds.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.