Leseprobe
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Modern Methods in Complex Analysis (AM-137), Volume 137
Yum-Tong Siu (Hrsg.), Thomas Bloom (Hrsg.), John P. D'Angelo (Hrsg.), David W. Catlin (Hrsg.)
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
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Codimension, Vector field, Theorem, Automorphic form, Differential geometry, Topology, Trade-off, Integer, Complexification, Explanation, Julia set, Complex number, Degenerate bilinear form, Contact geometry, Commutator, Complex analysis, Polynomial, Determinant, Cauchy–Riemann equations, Hodge theory, Prediction, Conceptual framework, Compactification (mathematics), Potential theory, Boundary value problem, Complex-analytic variety, Rational number, Holomorphic function, Asymptotic expansion, Inference, Riemann hypothesis, Theory, Scientific notation, Cohomology, Jacobian variety, Mathematician, World war, Symplectic geometry, Curvature, Elaboration, Quantum field theory, Formal power series, Instance (computer science), Gauss–Bonnet theorem, Existential quantification, Dimension, Eigenvalues and eigenvectors, Commutative property, Complex manifold, Analytic manifold, Analytic function, Isomorphism class, Measurement, Calculation, Projection (linear algebra), Lagrangian (field theory), Computation, Quantity, Complex dimension, Pseudogroup, Modular form, Quadratic form, First Moroccan Crisis, Scientist, Hypothesis, Oxford University Press, Decision-making, World War II, Estimation, Riemann surface