Differential analysis on complex manifolds / R. O. Wells, Jr.
Series Graduate texts in mathematics ; 65Editor: New York : Springer-Verlag, c1980Descripción: x, 260 p. ; 25 cmISBN: 0387904190Tema(s): Complex manifolds | Differentiable manifoldsOtra clasificación: 58-01 (32-01)Chapter I Manifolds and Vector Bundles [1] -- 1. Manifolds [2] -- 2. Vector Bundles [12] -- 3. Almost Complex Manifolds and the 5-Operatot [27] -- Chapter II Sheaf Theory [36] -- 1. Presheaves and Sheaves [36] -- 2. Resolutions of Sheaves [42] -- 3. Cohomology Theory SI -- Appendix A. Cech Cohomology with Coefficients in a Sheaf [63] -- Chapter III Differential Geometry [65] -- 1. Hermitian Differential Geometry [65] -- 2. The Canonical Connection and Curvature of a Hermitian Holomorphic Vector Bundle [77] -- 3. Chem Classes of Differentiable Vector Bundles [84] -- 4. Complex Line Bundies [97] -- Chapter IV Elliptic Operator Theory [108] -- 1. Sobolev Spaces [108] -- 2. Differential Operators [113] -- 3. Pseudodifferential Operators [119] -- 4. A Parametrix for Elliptic Differential Operators [136] -- 5. Elliptic Complexes [144] -- Chapter V Compact Complex Manifolds [154] -- 1. Hermitian Exterior Algebra on a Hermitian Vector Space [154] -- 2. Harmonic Theory on Compact Manifolds [163] -- 3. Representations of 61(2, C) on Hermitian Exterior Algebras [170] -- 4. Differential Operators on a Kahler Manifold [188] -- 5. The Hodge Decomposition Theorem on Compact Kahler Manifolds [197] -- 6. The Hodge-Riemann Bilinear Relations on a Kahler Manifold [201] -- Chapter VI Kodaira’s Projective Embedding Theorem [217] -- 1. Hodge Manifolds [217] -- 2. Kodaira’s Vanishing Theorem [222] -- 3. Quadratic Transformations [229] -- 4. Kodaira’s Embedding Theorem [234] -- References [241] -- Subject Index [251] -- Author Index [259] --
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
Libros
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Instituto de Matemática, CONICET-UNS | Últimas adquisiciones | 58 W453 (Browse shelf) | Available | A-9397 |
Includes indexes.
Bibliografía: p. 241-247.
Chapter I Manifolds and Vector Bundles [1] --
1. Manifolds [2] --
2. Vector Bundles [12] --
3. Almost Complex Manifolds and the 5-Operatot [27] --
Chapter II Sheaf Theory [36] --
1. Presheaves and Sheaves [36] --
2. Resolutions of Sheaves [42] --
3. Cohomology Theory SI --
Appendix A. Cech Cohomology with Coefficients in a Sheaf [63] --
Chapter III Differential Geometry [65] --
1. Hermitian Differential Geometry [65] --
2. The Canonical Connection and Curvature of a Hermitian Holomorphic Vector Bundle [77] --
3. Chem Classes of Differentiable Vector Bundles [84] --
4. Complex Line Bundies [97] --
Chapter IV Elliptic Operator Theory [108] --
1. Sobolev Spaces [108] --
2. Differential Operators [113] --
3. Pseudodifferential Operators [119] --
4. A Parametrix for Elliptic Differential Operators [136] --
5. Elliptic Complexes [144] --
Chapter V Compact Complex Manifolds [154] --
1. Hermitian Exterior Algebra on a Hermitian Vector Space [154] --
2. Harmonic Theory on Compact Manifolds [163] --
3. Representations of 61(2, C) on Hermitian Exterior Algebras [170] --
4. Differential Operators on a Kahler Manifold [188] --
5. The Hodge Decomposition Theorem on Compact Kahler Manifolds [197] --
6. The Hodge-Riemann Bilinear Relations on a Kahler Manifold [201] --
Chapter VI Kodaira’s Projective Embedding Theorem [217] --
1. Hodge Manifolds [217] --
2. Kodaira’s Vanishing Theorem [222] --
3. Quadratic Transformations [229] --
4. Kodaira’s Embedding Theorem [234] --
References [241] --
Subject Index [251] --
Author Index [259] --
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