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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Bibliografski detalji
Glavni autor: Isaev, Alexander
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Izdanje:1st ed. 2007.
Serija:Lecture Notes in Mathematics 1902
Teme:
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Bilješka: L'impression du document génère 148 p.
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Edition sous un autre format:• Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds, Alexander Isaev, 2007, Berlin, Springer, 1 vol. (VIII-139 p.), Lecture notes in mathematics, 3-540-69151-0
• Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds, Texte imprimé, 9783540834403
• Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds, Alexander Isaev, 2007, Berlin, Springer, 1 vol. (VIII-139 p.), Lecture notes in mathematics, 3-540-69151-0
Opis
Sažetak: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.
Opis djela:L'impression du document génère 148 p.
Archives Springer e-books (Licence nationale)
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Bibliografija:Bibliogr. Index
ISBN:9783540691532
ISSN:1617-9692
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