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
2004
ISBN: 978-3-540-22358-0
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 219 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 365 g

Reihe: C.I.M.E. Foundation Subseries

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.

Zielgruppe

Research

Autoren/Hrsg.

Rosay, Jean-Pierre

Abate, Marco

Fornaess, John Erik

Huang, Xiaojun

Tumanov, Alexander

Zaitsev, Dmitri

Zampieri, Giuseppe

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

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.