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

Bibliographic Information

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

Alexander Isaev

(Lecture notes in mathematics, 1902)

Springer, c2007

Other Title

Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds

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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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