Opérateurs géométriques, invariants conformes et varétés asymptotiquement hyperboliques /
Saved in:
| Author / Creator: | Djadli, Zindine. |
|---|---|
| Imprint: | [Paris] : Société mathématique de France, 2008. |
| Description: | vi, 172 p. : ill. ; 24 cm. |
| Language: | French |
| Series: | Panorama et syntheses ; numéro 26 Panorama et syntheses ; 26. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8138907 |
| Summary: | 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 Poincare-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. |
|---|---|
| Physical Description: | vi, 172 p. : ill. ; 24 cm. |
| Bibliography: | Includes bibliographical references (p. [161]-172). |
| ISBN: | 9782856292600 2856292607 |
