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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

  • Book
  • © 2004

Overview

Authors:
  1. Marco Abate
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  2. John Erik Fornaess
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  3. Xiaojun Huang
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  4. Jean-Pierre Rosay
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  5. Alexander Tumanov
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Editors:
  1. Dmitri Zaitsev
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  2. Giuseppe Zampieri
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1848)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-IX
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  2. Angular Derivatives in Several Complex Variables

    • Marco Abate
    Pages 1-47

  3. Real Methods in Complex Dynamics

    • John Erik Fornæss
    Pages 49-107

  4. Local Equivalence Problems for Real Submanifolds in Complex Spaces

    • Xiaojun Huang
    Pages 109-163

  5. Introduction to a General Theory of Boundary Values

    • Jean-Pierre Rosay
    Pages 165-189

  6. Extremal Discs and the Geometry of CR Manifolds

    • Alexander Tumanov
    Pages 191-212

  7. Back Matter

    Pages 213-219
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Real Methods in Complex and CR Geometry

  • Book Subtitle: 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

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b98482

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Softcover ISBN: 978-3-540-22358-0Published: 15 July 2004

  • eBook ISBN: 978-3-540-44487-9Published: 30 August 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IX, 219

  • Topics: Several Complex Variables and Analytic Spaces

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