| 书目名称 | Differential Analysis on Complex Manifolds | | 编辑 | R. O. Wells | | 视频video | | | 概述 | Presents a concise introduction to the basics of analysis and geometry on compact complex manifolds.Provides tools which are the building blocks of many mathematical developments over the past 30 year | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | .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 M | | 出版日期 | Textbook 19802nd edition | | 关键词 | Analysis; calculus; differenzierbare Mannigfaltigkeit; komplexe Mannigfaltigkeit; manifold | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4757-3946-6 | | isbn_ebook | 978-1-4757-3946-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1980 |
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发表于 2025-3-21 19:41:07
