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

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 equ...

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Körperschaft: Centro Internazionale Matematico Estivo (BerichterstatterIn)
Weitere Verfasser: Abate, Marco (BerichterstatterIn), Zaitsev, Dmitri (HerausgeberIn), Zampieri, Giuseppe (HerausgeberIn), Fornaess, John Erik (HerausgeberIn), Huang, Xiaojun (HerausgeberIn), Rosay, Jean-Pierre (HerausgeberIn), Tumanov, Alexander (HerausgeberIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Berlin, Heidelberg, New York Springer 2004
Schriftenreihe:Lecture notes in mathematics 1848 : Fondazione C.I.M.E., Firenze
Schlagworte:
Complex manifolds > CR submanifolds > Konferenzschrift > Komplexe Geometrie > Cauchy-Riemannsche Mannigfaltigkeit
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Zusammenfassung: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. TOC: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 Genral Theory of Boundary Values.- A. Tumanov: Extremal Discs and the Geometry of CR Manifolds
Beschreibung:Literaturangaben
Beschreibung:IX, 218 S
graph. Darst
24 cm
ISBN:3540223584
3-540-22358-4