Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (Lecture Notes in Mathematics) (repost)
Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (Lecture Notes in Mathematics) by Alexander Isaev
English | 2007-03 | ISBN: 3540691510 | 144 pages | PDF | 2 MB
English | 2007-03 | ISBN: 3540691510 | 144 pages | PDF | 2 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. 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.