Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds By Alexander Isaev
English | PDF | 2007 | 149 Pages | ISBN : 3540691510 | 2.4 MB
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.