Modern Methods In Complex Analysis (am-137) (ebook)

Argumento de Modern Methods In Complex Analysis (am-137) (ebook)

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.0Preface 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