Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (Lecture Notes in Mathematics, 1902)

Isaev, Alexander

ISBN 10: 3540691510 / ISBN 13: 9783540691518

Published by Springer, 2007

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Bibliographic Details

• Title: Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (Lecture Notes in Mathematics, 1902)
• Publisher: Springer
• Publication Date: 2007
• Language: English
• ISBN 10: 3540691510
• ISBN 13: 9783540691518
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

About the Author

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.