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Differential Analysis on Complex Manifolds
ISBN-13:
9780387738925
Veröffentl:
2007
Seiten:
299
Autor:
Raymond O. Wells
Serie:
65, Graduate Texts in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
Manifolds and Vector Bundles.- Sheaf Theory.- Differential Geometry.- Elliptic Operator Theory.- Compact Complex Manifolds.- Kodaira's Projective Embedding Theorem.
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