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Titlebook: Differential Analysis on Complex Manifolds; Raymond O. Wells Textbook 2008Latest edition Springer-Verlag New York 2008 Analysis.Differenzi

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書目名稱Differential Analysis on Complex Manifolds
編輯Raymond O. Wells
視頻videohttp://file.papertrans.cn/279/278639/278639.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
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Differential Analysis on Complex Manifolds;  Raymond O. Wells Textbook 2008Latest edition Springer-Verlag New York 2008 Analysis.Differenzi
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 the developments in the field during the decades since the book appeared.. .From a review of the 2nd Edition:. .“..the new edition ofProfessor 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 Mathemat
出版日期Textbook 2008Latest edition
關(guān)鍵詞Analysis; Differenzierbare Mannigfaltigkeit; Komplexe Mannigfaltigkeit; calculus; differential equation;
版次3
doihttps://doi.org/10.1007/978-0-387-73892-5
isbn_softcover978-1-4419-2535-0
isbn_ebook978-0-387-73892-5Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York 2008
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Joao L. Rocha,Daniel Pomp,L. Dale Van Vleckpped with a K?hler metric). In terms of a Hermitian metric we define the Laplacian operators associated with the operators ., ?, and ? and show that when the metric is K?hler that the Laplacians are related in a simple way. We shall use this relationship in Sec. 5 to prove the Hodge decomposition th
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Textbook 2008Latest editionnce the book appeared.. .From a review of the 2nd Edition:. .“..the new edition ofProfessor 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 Mathemat
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Manifolds and Vector Bundles,nifolds, one of the principal results which will be proved in this book (see Chap. VI). The “geometry” of a manifold is, from our point of view, represented by the behavior of the tangent bundle of a given manifold. In Sec. 2 we shall develop the concept of the tangent bundle (and derived bundles) f
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0072-5285 r 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 Mathemat978-1-4419-2535-0978-0-387-73892-5Series ISSN 0072-5285 Series E-ISSN 2197-5612
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