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Riemannian manifolds. --- Hermitian structures. --- Kählerian structures. --- Riemann, Variétés de --- Structures hermitiennes --- Structures kählériennes --- 514.76 --- Hermitian structures --- Kahlerian structures --- Riemannian manifolds --- Manifolds, Riemannian --- Riemannian space --- Space, Riemannian --- Geometry, Differential --- Manifolds (Mathematics) --- Structures, Kählerian --- Complex manifolds --- Structures, Hermitian --- Kählerian structures --- Geometry of differentiable manifolds and of their submanifolds --- 514.76 Geometry of differentiable manifolds and of their submanifolds --- Kählerian structures. --- Riemann, Variétés de --- Structures kählériennes
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Complex analysis --- Analytic functions --- Fonctions analytiques --- 512 --- Algebra --- 512 Algebra --- Fonctions de plusieurs variables complexes --- Variétés complexes --- Espaces fibres --- Faisceaux
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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.
517.53 --- 515.17 --- Functions of a complex variable --- Analytic spaces --- 515.17 Analytic spaces --- 517.53 Functions of a complex variable --- Functions of several complex variables --- Mathematical analysis --- 517.1 Mathematical analysis --- Congresses --- 517.1 --- Congresses. --- Mathematical analysis - Congresses --- Functions of several complex variables - Congresses
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Geometry, Differential --- Geometry, Riemannian --- Differential topology --- Géométrie différentielle --- Topologie différentielle --- Geometry, Differential. --- Algebraic topology. --- Géométrie différentielle. --- Topologie différentielle. --- Géométrie différentielle. --- Topologie différentielle.
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Ordinary differential equations --- Differential geometry. Global analysis --- 514.75 --- Differential equations, Nonlinear --- -Global differential geometry --- -Geometry, Differential --- Nonlinear differential equations --- Nonlinear theories --- Differential geometry in spaces with fundamental groups --- Congresses --- -Differential geometry in spaces with fundamental groups --- -514.75 Differential geometry in spaces with fundamental groups --- Geometry, Differential --- Global differential geometry --- 514.75 Differential geometry in spaces with fundamental groups --- Géometrie différentielle globale --- Géometrie différentielle --- Géometrie différentielle globale --- Géometrie différentielle --- Variétés complexes --- Equations aux derivees partielles sur une variete
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