Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

  • Alexander Isaev

Part of the Lecture Notes in Mathematics book series (LNM, volume 1902)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Pages 1-22
  3. Pages 23-28
  4. Pages 29-50
  5. Pages 121-130
  6. Back Matter
    Pages 131-143

About this book

Introduction

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.

Keywords

Complex manifolds Kobayashi-Hyperbolicity automorphism groups group actions manifold

Authors and affiliations

  • Alexander Isaev
    • 1
  1. 1.Australian National UniversityCanberraAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-69151-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-69151-8
  • Online ISBN 978-3-540-69153-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book