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, Lecture Notes in Mathematics 1848 - C.I.M.E. Foundation Subseries
Abate, Marco/Fornaess, John Erik/Huang, Xiaojun et al
Erschienen am
15.07.2004
Beschreibung
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.
Produktsicherheitsverordnung
Hersteller:
Springer Verlag GmbH
juergen.hartmann@springer.com
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DE 69121 Heidelberg
Inhalt
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.
