Modern Methods in Complex Analysis: The Princeton Conference in Honor of Gunning and Kohn - Brossura

Brossura

ISBN 10: 0691044287 ISBN 13: 9780691044286

Casa editrice: Princeton University Press, 1995

Riassunto

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.

Su questo libro

L'autore

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.

Contenuti

	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

Dettagli dell?edizione

• Editore: Princeton University Press
• Data di pubblicazione: 1995
• ISBN 10: 0691044287
• ISBN 13: 9780691044286
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 360
• Redattore: Bloom Thomas