Bloom / Catlin / D'Angelo Modern Methods in Complex Analysis

The Princeton Conference in Honor of Gunning and Kohn
1. Auflage 2016
ISBN: 978-1-4008-8257-1
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 360 Seiten

Reihe: Annals of Mathematics Studies

The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field.

The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.

Autoren/Hrsg.

Bloom, Thomas

Catlin, David W.

D'Angelo, John P.

Siu, Yum-Tong

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

Preface

List of Participants

Program of the Conference

The Scientific Work of Robert C. Gunning 3

The Scientific Work of Joseph J. Kohn 16

On Invariants of Manifolds 29

Remarks on Analytic Hypoellipticity of [actual symbol not reproducible] 41

Finite Type Conditions and Subelliptic Estimates 63

Characterization of Certain Holomorphic Geodesic Cycles on Hermitian Locally Symmetric Manifolds of the Noncompact Type 79

On Kohn's Microlocalization of [actual symbol not reproducible] Problems 119

Complex Dynamics in Higher Dimension. II 135

Set Theoretical Real Analytic Spaces 183

An Isoperimetric Estimate for the Ricci Flow on the Two-Sphere 191

Isoperimetric Estimates for the Curve Shrinking Flow in the Plane 201

The Abel-Radon Transform and Several Complex Variables 223

On the Absence of Periodic Points for the Ricci Curvature Operator Acting on the Space of Kahler Metrics 277

The Maximum Principle and Related Topics 283

Very Ampleness Criterion of Double Adjoints of Ample Line Bundles 291

Integrability of Elliptic Overdetermined Systems of Nonlinear First-Order Complex PDE 319

The Holomorphic Contact Geometry of a Real Hypersurface 327

Über Autor(innen)

Thomas Bloom is Professor of Mathematics at the University of Toronto. David W. Catlin is Professor of Mathematics at Purdue University. John P. D'Angelo is Professor of Mathematics at the University of Illinois, Urbana. Yum-Tong Siu is William Elwood Byerly Professor of Mathematics at Harvard University.