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 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.
| Autor: | Isaev, Alexander |
|---|---|
| ISBN: | 9783540691518 |
| Sprache: | Englisch |
| Seitenzahl: | 144 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 09.02.2007 |
| Schlagworte: | Complex manifolds Kobayashi-Hyperbolicity automorphism groups group actions manifold |
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