Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
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 classific...
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Auteur principal : | |
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Format : | Livre |
Langue : | anglais |
Titre complet : | Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds / Alexander Isaev. |
Édition : | 1st ed. 2007. |
Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
Collection : | Lecture notes in mathematics (Internet) ; 1902 |
Accès en ligne : |
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Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
Contenu : | The Homogeneous Case. The Case d(M) = n2. The Case d(M) = n2 - 1, n ? 3. The Case of (2,3)-Manifolds. Proper Actions. |
Sujets : | |
Documents associés : | Autre format:
Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds Autre format: Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds Autre format: Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds |
Résumé : | 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. |
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Notes : | L'impression du document génère 148 p. |
Bibliographie : | Bibliogr. Index |
ISBN : | 978-3-540-69153-2 |
DOI : | 10.1007/3-540-69151-0 |