Lectures on the automorphism groups of Kobayashi-hyberbolic [i.e. hyperbolic] manifolds
Author(s)
Bibliographic Information
Lectures on the automorphism groups of Kobayashi-hyberbolic [i.e. hyperbolic] manifolds
(Lecture notes in mathematics, 1902)
Springer, c2007
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Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||190206095377
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Note
Includes bibliographical references (p. [131]-135) and index
Description and Table of Contents
Description
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.
Table of Contents
The Homogeneous Case.- The Case d(M) = n2.- The Case d(M) = n2 - 1, n ? 3.- The Case of (2,3)-Manifolds.- Proper Actions.
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