书目名称 | Differential Analysis on Complex Manifolds |
编辑 | R. O. Wells |
视频video | http://file.papertrans.cn/279/278640/278640.mp4 |
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 |