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 |
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200 | 1 | |a Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds |f Alexander Isaev. | |
205 | |a 1st ed. 2007. | ||
214 | 0 | |a Berlin, Heidelberg |c Springer Berlin Heidelberg | |
214 | 2 | |a Cham |c Springer Nature |d [20..] | |
225 | 2 | |a Lecture Notes in Mathematics |x 1617-9692 |v 1902 | |
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320 | |a Bibliogr. Index | ||
327 | 1 | |a The Homogeneous Case |a The Case d(M) = n2 |a The Case d(M) = n2 - 1, n ? 3 |a The Case of (2,3)-Manifolds |a Proper Actions. | |
330 | |a 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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410 | | | |0 128395303 |t Lecture notes in mathematics (Internet) |x 1617-9692 |v 1902 | |
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