Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
Publication year: 2007
ISBN: 978-3-540-69153-2
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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.
Subject: Mathematics and Statistics, Complex manifolds, Kobayashi-Hyperbolicity, automorphism groups, group actions, manifold
