Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
ISBN: 9783540691518
出版社: Springer
出版年: 2007-3-22
页数: 152
定价: USD 49.95
装帧: Paperback
内容简介
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.