Modern Methods in Complex Analysis (AM-137), Volume 137: The Princeton Conference in Honor of Gunning and Kohn. (AM-137)

Published by Princeton University Press 1996

Modern Methods in Complex Analysis (AM-137), Volume 137

The Princeton Conference in Honor of Gunning and Kohn. (AM-137)

Edited by: Thomas Bloom , David W. Catlin , John P. D'Angelo and Yum-Tong Siu

Volume 137 in the series Annals of Mathematics Studies

https://doi.org/10.1515/9781400882571

Overview
Contents

About this book

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.

Author / Editor information

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.

Topics

Frontmatter Publicly Available Download PDF	i
CONTENTS Publicly Available Download PDF	v
PREFACE Requires Authentication Unlicensed Licensed Download PDF	vii
LIST OF PARTICIPANTS Requires Authentication Unlicensed Licensed Download PDF	ix
PROGRAM OF THE CONFERENCE Requires Authentication Unlicensed Licensed Download PDF	xiii
THE SCIENTIFIC WORK OF ROBERT C. GUNNING Robert C. Gunning Requires Authentication Unlicensed Licensed Download PDF	1
THE SCIENTIFIC WORK OF JOSEPH J. KOHN Joseph J. Kohn Requires Authentication Unlicensed Licensed Download PDF	16
ON INVARIANTS OF MANIFOLDS Raoul Bott Requires Authentication Unlicensed Licensed Download PDF	29
REMARKS ON ANALYTIC HYPOELLIPTICITY OF ∂̅_b Michael Christ Requires Authentication Unlicensed Licensed Download PDF	41
FINITE TYPE CONDITIONS AND SUBELLIPTIC ESTIMATES John P. D ’Angelo Requires Authentication Unlicensed Licensed Download PDF	63
CHARACTERIZATION OF CERTAIN HOLOMORPHIC GEODESIC CYCLES ON HERMITIAN LOCALLY SYMMETRIC MANIFOLDS OF THE NONCOMPACT TYPE Philippe Eyssidieux and Ngaiming Mok Requires Authentication Unlicensed Licensed Download PDF	79
ON KOHN’S MICROLOCALIZATION OF ∂̅ PROBLEMS Charles Fefferman Requires Authentication Unlicensed Licensed Download PDF	119
COMPLEX DYNAMICS IN HIGHER DIMENSION. II John Erik Fornaess and Nessim Sihony Requires Authentication Unlicensed Licensed Download PDF	135
SET THEORETICAL REAL ANALYTIC SPACES Hans Grauert Requires Authentication Unlicensed Licensed Download PDF	183
AN ISOPERIMETRIC ESTIMATE FOR THE RICCI FLOW ON THE TWO-SPHERE Richard S. Hamilton Requires Authentication Unlicensed Licensed Download PDF	191
ISOPERIMETRIC ESTIMATES FOR THE CURVE SHRINKING FLOW IN THE PLANE Richard S. Hamilton Requires Authentication Unlicensed Licensed Download PDF	201
THE ABEL-RADON TRANSFORM AND SEVERAL COMPLEX VARIABLES G. M. Henkin Requires Authentication Unlicensed Licensed Download PDF	223
ON THE ABSENCE OF PERIODIC POINTS FOR THE RICCI CURVATURE OPERATOR ACTING ON THE SPACE OF KÄHLER METRICS Alan M. Nadel Requires Authentication Unlicensed Licensed Download PDF	277
THE MAXIMUM PRINCIPLE AND RELATED TOPICS Louis Nirenberg Requires Authentication Unlicensed Licensed Download PDF	283
VERY AMPLENESS CRITERION OF DOUBLE ADJOINTS OF AMPLE LINE BUNDLES Yum-Tong Siu Requires Authentication Unlicensed Licensed Download PDF	291
INTEGRABILITY OF ELLIPTIC OVERDETERMINED SYSTEMS OF NONLINEAR FIRST-ORDER COMPLEX PDE François Treves Requires Authentication Unlicensed Licensed Download PDF	319
THE HOLOMORPHIC CONTACT GEOMETRY OF A REAL HYPERSURFACE S. M. Webster Requires Authentication Unlicensed Licensed Download PDF	327