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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

Authors
Publisher Springer, Berlin
Year
Pages 144
Version paperback
Language English
ISBN 9783540691518
Categories Complex analysis, complex variables
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Book 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.

Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

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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