Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds [electronic resource] by Alexander Isaev.
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...
Uniform Title: | Lecture Notes in Mathematics,
1617-9692 ; 1902 |
---|---|
Main Author: | |
Corporate Author: | |
Language: | English |
Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2007.
|
Edition: | 1st ed. 2007. |
Series: | Lecture Notes in Mathematics,
1902 |
Subjects: | |
Online Access: | |
Format: | Electronic eBook |
Summary: |
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. |
---|---|
ISBN: | 9781280804908 (online) 9783540691532 (online) |
ISSN: | 1617-9692 ; |