Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

von Alexander Isaev

144 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540691518
• Sprache: Englisch
• Erscheinungsdatum: 09.02.2007
• Genre: Mathematik/Analysis
• Verlag: Springer Berlin