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Real Methods in Complex and CR Geometry

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 30 - July 6, 2002

  • Authors
  • Marco Abate
  • John Erik Fornaess
  • Xiaojun Huang
  • Jean-Pierre Rosay
  • Alexander Tumanov
  • Editors
  • Dmitri Zaitsev
  • Giuseppe Zampieri

Part of the Lecture Notes in Mathematics book series (LNM, volume 1848)

Table of contents

  1. Front Matter
    Pages I-IX
  2. John Erik Fornæss
    Pages 49-107
  3. Jean-Pierre Rosay
    Pages 165-189
  4. Alexander Tumanov
    Pages 191-212
  5. Back Matter
    Pages 213-219

About this book

Introduction

The geometry of real submanifolds in complex manifolds and the analysis of their mappings belong to the most advanced streams of contemporary Mathematics. In this area converge the techniques of various and sophisticated mathematical fields such as P.D.E.'s, boundary value problems, induced  equations, analytic discs in symplectic spaces, complex dynamics. For the variety of themes and the surprisingly good interplaying of different research tools, these problems attracted the attention of some among the best mathematicians of these latest two decades. They also entered as a refined content of an advanced education. In this sense the five lectures of this volume provide an excellent cultural background while giving very deep insights of current research activity.

Keywords

CR structures Derivative boundary behavior of holomorphic functions extrema iteration problems manifold real submanifolds in complex manifolds

Bibliographic information

  • DOI https://doi.org/10.1007/b98482
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-22358-0
  • Online ISBN 978-3-540-44487-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site