Differential Analysis on Complex Manifolds

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 dif...

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Principais autores: Wells, Raymond O., SpringerLink (Online service)
Formato: Digital
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Matemática.
Análise matemática.
Endereço do item:http://dx.doi.org/10.1007/978-0-387-73892-5
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spelling oai:localhost:123456789-1294122023-07-17T15:12:11Z Differential Analysis on Complex Manifolds Wells, Raymond O. SpringerLink (Online service) Matemática. Análise matemática. 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 0 2022-10-06T07:43:45Z 2022-10-06T07:43:45Z 2008. Digital 51 W455d 9780387738925 197075 http://dx.doi.org/10.1007/978-0-387-73892-5 http://dx.doi.org/10.1007/978-0-387-73892-5
institution Acervo SISBI
collection SIGAA
topic Matemática.
Análise matemática.
spellingShingle Matemática.
Análise matemática.
Wells, Raymond O.
SpringerLink (Online service)
Differential Analysis on Complex Manifolds
description 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
format Digital
author Wells, Raymond O.
SpringerLink (Online service)
author_facet Wells, Raymond O.
SpringerLink (Online service)
author_sort Wells, Raymond O.
title Differential Analysis on Complex Manifolds
title_short Differential Analysis on Complex Manifolds
title_full Differential Analysis on Complex Manifolds
title_fullStr Differential Analysis on Complex Manifolds
title_full_unstemmed Differential Analysis on Complex Manifolds
title_sort differential analysis on complex manifolds
publishDate 2022
url http://dx.doi.org/10.1007/978-0-387-73892-5
work_keys_str_mv AT wellsraymondo differentialanalysisoncomplexmanifolds
AT springerlinkonlineservice differentialanalysisoncomplexmanifolds
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