03611nam a22005295i 4500 978-0-387-73892-5 DE-He213 20210620053438.0 cr nn 008mamaa 100715s2008 xxu| s |||| 0|eng d 9780387738925 978-0-387-73892-5 10.1007/978-0-387-73892-5 doi QA299.6-433 PBK bicssc MAT034000 bisacsh PBK thema 515 23 Wells, Raymond O. author. aut http://id.loc.gov/vocabulary/relators/aut Differential Analysis on Complex Manifolds [electronic resource] / by Raymond O. Wells. 3rd ed. 2008. New York, NY : Springer New York : Imprint: Springer, 2008. XIV, 304 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Graduate Texts in Mathematics, 0072-5285 ; 65 Manifolds and Vector Bundles -- Sheaf Theory -- Differential Geometry -- Elliptic Operator Theory -- Compact Complex Manifolds -- Kodaira's Projective Embedding Theorem. 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. Mathematical analysis. Analysis (Mathematics). Global analysis (Mathematics). Manifolds (Mathematics). Analysis. https://scigraph.springernature.com/ontologies/product-market-codes/M12007 Global Analysis and Analysis on Manifolds. https://scigraph.springernature.com/ontologies/product-market-codes/M12082 SpringerLink (Online service) Springer Nature eBook Printed edition: 9780387520407 Printed edition: 9781441925350 Printed edition: 9780387738918 Printed edition: 9781493991099 Graduate Texts in Mathematics, 0072-5285 ; 65 https://doi.org/10.1007/978-0-387-73892-5 ZDB-2-SMA ZDB-2-SXMS Mathematics and Statistics (SpringerNature-11649) Mathematics and Statistics (R0) (SpringerNature-43713)