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Record Nr. |
UNINA9910484282703321 |
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Autore |
Isaev Alexander |
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Titolo |
Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds / / Alexander Isaev |
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Pubbl/distr/stampa |
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Berlin ; ; Heidelberg ; ; New York : , : Springer, , [2007] |
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©2007 |
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ISBN |
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1-280-80490-4 |
9786610804900 |
3-540-69153-7 |
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Edizione |
[1st ed. 2007.] |
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Descrizione fisica |
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1 online resource (148 p.) |
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Collana |
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Lecture notes in mathematics (Springer-Verlag) ; ; 1902 |
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Disciplina |
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Soggetti |
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Hyperbolic spaces |
Automorphisms |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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The Homogeneous Case -- The Case d(M) = n2 -- The Case d(M) = n2 - 1, n ? 3 -- The Case of (2,3)-Manifolds -- Proper Actions. |
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Sommario/riassunto |
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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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