[DOWNLOAD] "Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds" by Alexander Isaev " Book PDF Kindle ePub Free
eBook details
- Title: Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
- Author : Alexander Isaev
- Release Date : January 11, 2007
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 4757 KB
Description
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.