Differential Analysis on Complex Manifolds. Second Edition.

Wells, R O:

ISBN 10: 0387904190 / ISBN 13: 9780387904191

Editore: New York: Springer, 1980

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Series: Graduate Texts in Mathematics. x 272p hardback, clear and bright yellow cover, like new condition, no noticeable wear, tight binding, pages very clean and neat, all content clear and legible including mathematical notation, an excellent copy with little to no sign of use Language: English Weight (g): 567.

Codice articolo 233090

Dati bibliografici

• Titolo: Differential Analysis on Complex Manifolds. Second Edition.
• Editore: New York: Springer
• Data di pubblicazione: 1980
• Lingua: Inglese
• ISBN 10: 0387904190
• ISBN 13: 9780387904191
• Rilegatura: Hardback
• Edizione: seconda edizione
• Condizione: As New
• Peso: 567 grammi
• Cataloghi dei venditori:
  • Mathematics

Descrizione articolo

Riassunto

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.

Dalla quarta di copertina

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