Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

Alexander Isaev

ISBN 10: 3540691510 / ISBN 13: 9783540691518

Published by Springer Berlin Heidelberg, 2007

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Kobayashi-hyperbolic manifolds are an object of active research in complex geometry. In this monograph the author presents a coherent exposition ofrecent results on complete characterization ofKobayashi-hyperbolicmanifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds withhigh-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.

Seller Inventory # 9783540691518

Bibliographic Details

• Title: Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
• Publisher: Springer Berlin Heidelberg
• Publication Date: 2007
• Language: English
• ISBN 10: 3540691510
• ISBN 13: 9783540691518
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 9D millimeters 235 millimeters width by 155 millimeters height by 9 millimeters depth
• Weight: 248 grams

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.