Description

Book Synopsis
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.

Table of Contents
Preface.- M. Abate: Angular Derivatives in Several Complex Variables.- J.E. Fornaess: Real Methods in Complex Dynamics.- X. Huang: Local Equivalence Problems for Real Submanifolds in Complex Spaces.- J.-P. Rosay: Introduction to a General Theory of Boundary Values.- A. Tumanov: Extremal Discs and the Geometry of CR Manifolds.

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

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    A Paperback by Dmitri Zaitsev, Marco Abate, Giuseppe Zampieri

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      View other formats and editions of 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 by Dmitri Zaitsev

      Book details

      Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
      Published 15 July 2004
      ISBN-13 9783540223580
      978-3540223580
      ISBN-10 3540223584
      Also in:
      Mathematics Complex analysis, complex variables

      Description

      Book Synopsis
      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.

      Table of Contents
      Preface.- M. Abate: Angular Derivatives in Several Complex Variables.- J.E. Fornaess: Real Methods in Complex Dynamics.- X. Huang: Local Equivalence Problems for Real Submanifolds in Complex Spaces.- J.-P. Rosay: Introduction to a General Theory of Boundary Values.- A. Tumanov: Extremal Discs and the Geometry of CR Manifolds.

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