Differential Analysis on Complex Manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1980
|
| Schriftenreihe: | Graduate Texts in Mathematics
65 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathematical Society "Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material." - Daniel M. Burns, Jr., Mathematical Reviews |
| Beschreibung: | 1 Online-Ressource (X, 262 p) |
| ISBN: | 9781475739466 9781475739480 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-3946-6 |
Internformat
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Datensatz im Suchindex
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| author | Wells, R. O. |
| author_facet | Wells, R. O. |
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| author_sort | Wells, R. O. |
| author_variant | r o w ro row |
| building | Verbundindex |
| bvnumber | BV042421547 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-3946-6 |
| format | Electronic eBook |
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| id | DE-604.BV042421547 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475739466 9781475739480 |
| issn | 0072-5285 |
| language | English |
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| spelling | Wells, R. O. Verfasser aut Differential Analysis on Complex Manifolds by R. O. Wells New York, NY Springer New York 1980 1 Online-Ressource (X, 262 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 65 0072-5285 In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathematical Society "Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material." - Daniel M. Burns, Jr., Mathematical Reviews Mathematics Global analysis (Mathematics) Analysis Mathematik Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Differential (DE-588)4149768-5 gnd rswk-swf Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd rswk-swf Komplexe Mannigfaltigkeit (DE-588)4031996-9 s Differential (DE-588)4149768-5 s 1\p DE-604 Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 s 2\p DE-604 Mannigfaltigkeit (DE-588)4037379-4 s 3\p DE-604 https://doi.org/10.1007/978-1-4757-3946-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wells, R. O. Differential Analysis on Complex Manifolds Mathematics Global analysis (Mathematics) Analysis Mathematik Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Differential (DE-588)4149768-5 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd |
| subject_GND | (DE-588)4031996-9 (DE-588)4037379-4 (DE-588)4149768-5 (DE-588)4012269-4 |
| title | Differential Analysis on Complex Manifolds |
| title_auth | Differential Analysis on Complex Manifolds |
| title_exact_search | Differential Analysis on Complex Manifolds |
| title_full | Differential Analysis on Complex Manifolds by R. O. Wells |
| title_fullStr | Differential Analysis on Complex Manifolds by R. O. Wells |
| title_full_unstemmed | Differential Analysis on Complex Manifolds by R. O. Wells |
| title_short | Differential Analysis on Complex Manifolds |
| title_sort | differential analysis on complex manifolds |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Differential (DE-588)4149768-5 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Komplexe Mannigfaltigkeit Mannigfaltigkeit Differential Differenzierbare Mannigfaltigkeit |
| url | https://doi.org/10.1007/978-1-4757-3946-6 |
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