Logo - springer
Slogan - springer

Mathematics - Analysis | Differential Analysis on Complex Manifolds

Differential Analysis on Complex Manifolds

Wells, R. O.

Originally published by Prentice-Hall Inc., 1973

2nd ed. 1980, X, 262 p.

eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

(net) price for USA

ISBN 978-1-4757-3946-6

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

$69.99
  • Presents a concise introduction to the basics of analysis and geometry on compact complex manifolds
  • Provides tools which are the building blocks of many mathematical developments over the past 30 years
  • The new edition contains a 40 page appendix which updates the text for the modern reader
  • Includes exercises and examples which are ideal for use in a classroom setting

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

Content Level » Graduate

Keywords » Analysis - calculus - differenzierbare Mannigfaltigkeit - komplexe Mannigfaltigkeit - manifold

Related subjects » Analysis

Table of contents 

I Manifolds and Vector Bundles.- II Sheaf Theory.- III Differential Geometry.- IV Elliptic Operator Theory.- V Compact Complex Manifolds.- VI Kodaira’s Projective Embedding Theorem.- References.- Author Index.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Analysis.

Additional information