Metrical and Dynamical Aspects in Complex Analysis

  • Léa Blanc-Centi

Part of the Lecture Notes in Mathematics book series (LNM, volume 2195)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Marco Abate
    Pages 1-24
  3. Marco Abate
    Pages 25-54
  4. Hervé Pajot
    Pages 115-140
  5. Marco Abate
    Pages 141-157
  6. Back Matter
    Pages 159-173

About this book

Introduction

The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area.

Keywords

Complex Dynamics Convex Domains Gromov Hyperbolicity Kobayashi Metric Quasi-conformal Mappings 32F45, 32T99, 30C65, 53C23, 53B40, 37F99, 51F99

Editors and affiliations

  • Léa Blanc-Centi
    • 1
  1. 1.Laboratoire Paul PainlevéUniversité de LilleVilleneuve d’AscqFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-65837-7
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-65836-0
  • Online ISBN 978-3-319-65837-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book