Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds / Edition 1

by Alexander Isaev

Overview

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.

Product Details

ISBN-13:	9783540691518
Publisher:	Springer Berlin Heidelberg
Publication date:	03/22/2007
Series:	Lecture Notes in Mathematics , #1902
Edition description:	2007
Pages:	144
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

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.

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.