Lecture Notes in Mathematics

Isaev, Alexander

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.

Details

Published by: Springer

Publication Date: 2007-02-09

Format: Paperback

ISBN-13: 9783540691518

DOI: 10.1007/3-540-69151-0

Dimensions: 235cm x155cm

Pages: 144