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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

  • Alexander Isaev
Book

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