Lectures on the automorphism groups of Kobayashi-hyberbolic [i.e. hyperbolic] manifolds

書誌事項

Lectures on the automorphism groups of Kobayashi-hyberbolic [i.e. hyperbolic] manifolds

Alexander Isaev

(Lecture notes in mathematics, 1902)

Springer, c2007

タイトル別名

Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds

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注記

Includes bibliographical references (p. [131]-135) and index

内容説明・目次

内容説明

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.

目次

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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