Marco Abate, John Erik Fornaess, Xiaojun Huang, Jean-Pierre Rosay, Alexander Tumanov

Real Methods in Complex and CR Geometry (eBook, PDF)

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 30 - July 6, 2002
Redaktion: Zaitsev, Dmitri; Zampieri, Giuseppe

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 219
• Erscheinungstermin: 30. August 2004
• Englisch
• ISBN-13: 9783540444879
• Artikelnr.: 53141493

Autorenporträt

Marco Abate, University of Pisa, Italy / John Erik Fornaess, University of Michigan, Ann Arbor, MI, USA / Xiaojun Huang, Rutgers University, New Brunswick, NJ, USA / Jean-Pierre Rosay, University of Wiscinsin, Madison, WI, USA / Alexander Tumanov, University of Ilinois at Urbana-Champain, IL, USA

Inhaltsangabe

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.