Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

✍ Scribed by Alexander Isaev (auth.)

• Book ID: 127419475
• Publisher: Springer
• Year: 2007
• Tongue: English
• Weight: 1 MB
• Edition: 1
• Category: Library
• City: Berlin
• ISBN: 3540691537
• ISSN: 0075-8434
• DOI: 10.1007/3-540-69151-0

✦ Synopsis

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.

✦ Subjects

Several Complex Variables and Analytic Spaces