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

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.

List 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.

Summary

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.

Product details

• Authors: Marc Abate, Marco Abate, John Eri Fornaess, John Erik Fornaess, Xiaojun Huang, Xiaojun et Huang, Jean-Pierre Rosay, Alexander Tumanov
• Assisted by: D. Zaitsev (Editor), Dmitr Zaitsev (Editor), Dmitri Zaitsev (Editor), Dmitri (Hrsg.) Zaitsev (Editor), Zampieri (Editor), Zampieri (Editor), G. Zampieri (Editor), Giuseppe Zampieri (Editor), Giuseppe (Hrsg.) Zampieri (Editor)
• Publisher: Springer-Verlag GmbH
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2004
• EAN: 9783540223580
• ISBN: 978-3-540-22358-0
• No. of pages: 219
• Dimensions: 154 mm x 241 mm x 14 mm
• Weight: 356 g
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; C, Mathematics and Statistics, Manifold, Functions of complex variables, Several Complex Variables and Analytic Spaces, real submanifolds in complex manifolds, extrema, iteration problems