Compact Manifolds with Special Holonomy, 9780198506010
Hardcover
Unveiling hidden geometries: Calabi-Yau, Hyperkähler, and exceptional manifolds revealed.

Compact Manifolds with Special Holonomy

$218.39

  • Hardcover

    448 pages

  • Release Date

    20 July 2000

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Summary

Unveiling the Secrets of Compact Manifolds with Special Holonomy

The journey begins with a comprehensive exploration of connections and holonomy groups, navigating the landscapes of Riemannian, complex, and Kähler geometry. We then embark on a proof of the Calabi conjecture, wielding its power to unveil the existence of compact manifolds adorned with SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkähler manifolds) holonomy. These structures are meticulously constructed and examined th…

Book Details

ISBN-13:9780198506010
ISBN-10:0198506015
Series:Oxford Mathematical Monographs
Author:Dominic David Joyce
Publisher:Oxford University Press
Imprint:Oxford University Press
Format:Hardcover
Number of Pages:448
Release Date:20 July 2000
Weight:805g
Dimensions:241mm x 161mm x 28mm
What They're Saying

Critics Review

The book is written in a very clear and understandable way, with careful explanation of the main ideas and many remarks and comments, and it includes systematic suggestions for further reading … It can be warmly recommended to mathematicians (in geometry and global analysis, in particular) as well as to physicists interested in string theory. EMS The first part is a very effective introduction to basic notions and results of modern differential geometry … This book is highly recommended for people who are interested in the very recent developments of differential geometry and its relationships with present research in theoretical physics. Zentralblatt MATH

About The Author

Dominic David Joyce

University lecturer and tutorial fellow at Lincoln College, Oxford.

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