DIFFERENTIAL ANALYSIS ON COMPLEX MANIFOLDS

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Sinopse

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.

Ficha técnica

Código de barras:
9780387738918
Dimensões:
0.00cm x 0.00cm x 0.00cm
Edição:
3ª EDIÇÃO - 2008
Editora:
SPRINGER VERLAG
ISBN:
0387738916
ISBN13:
9780387738918
Número de páginas:
304
Peso:
339 gramas
Ano de publicação:
2008