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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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Heidelberg ; New York :
Springer
[2007]
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| Edición: | 1st ed. 2007. |
| Colección: | Lecture notes in mathematics (Springer-Verlag) ;
1902. |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009460801606719 |
| Sumario: | 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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| Notas: | Description based upon print version of record. |
| Descripción Física: | 1 online resource (148 p.) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781280804908 9786610804900 9783540691532 |
