Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds / / Alexander Isaev
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| Autore: |
Isaev Alexander
|
| Titolo: |
Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds / / Alexander Isaev
|
| Pubblicazione: | Berlin ; ; Heidelberg ; ; New York : , : Springer, , [2007] |
| ©2007 | |
| Edizione: | 1st ed. 2007. |
| Descrizione fisica: | 1 online resource (148 p.) |
| Disciplina: | 516.9 |
| Soggetto topico: | Hyperbolic spaces |
| Automorphisms | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | The Homogeneous Case -- The Case d(M) = n2 -- The Case d(M) = n2 - 1, n ? 3 -- The Case of (2,3)-Manifolds -- Proper Actions. |
| Sommario/riassunto: | Kobayashi-hyperbolic manifolds are an object of active research in complex geometry. In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups, that were extensively studied in the 1950s-70s. The common feature of the Kobayashi-hyperbolic and Riemannian cases is the properness of the actions of the holomorphic automorphism group and the isometry group on respective manifolds. |
| Titolo autorizzato: | Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds |
| ISBN: | 1-280-80490-4 |
| 9786610804900 | |
| 3-540-69153-7 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910484282703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture notes in mathematics (Springer-Verlag) ; ; 1902.