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

Isaev, Alexander

Softcover

ISBN 10: 3540691510 ISBN 13: 9783540691518

Publisher: Springer, 2007

Synopsis

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.

About this title

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.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2007
• Language: English
• ISBN 10: 3540691510
• ISBN 13: 9783540691518
• Binding: Paperback
• Number of pages: 152