Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

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Lecture Notes in Mathematics 1902

ISBN: 3540691510
ISBN 13: 9783540691518
Autor: Isaev, Alexander
Verlag: Springer Verlag GmbH
Umfang: viii, 144 S.
Erscheinungsdatum: 09.02.2007
Auflage: 1/2007
Produktform: Kartoniert
Einband: KT

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.

Artikelnummer: 1562678 Kategorie:

Beschreibung

InhaltsangabeThe Homogeneous Case.- The Case d(M) = n2.- The Case d(M) = n2 - 1, n ? 3.- The Case of (2,3)-Manifolds.- Proper Actions.

Autorenporträt

Alexander Isaev is a Reader at the Australian National University, Canberra. After completing a PhD degree in 1990 at the Moscow State University, he taught at the University of Illinois (Urbana-Champaign) and at Chalmers University of Technology, Göteborg, Sweden.

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