Lectures on the Automorphism Groups of Kobayashi-Hyberbolic Manifolds. Lecture Notes in Mathematics |
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| Author:
| Isaev, Alexander |
| Series title: | Lecture Notes in Mathematics Ser. |
| ISBN: | 978-1-280-80490-8 |
| Publication Date: | Jan 2010 |
| Publisher: | Springer
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| Book Format: | Ebook |
| List Price: | USD $53.94 |
Book Description:
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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...
More DescriptionKobayashi-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.