Compact Manifolds with Special Holonomy Oxford Mathematical Monographs
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Compact Manifolds with Special Holonomy Oxford Mathematical Monographs Description
This is a combination of a graduate textbook on Riemannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It is the first book on compact manifolds with exceptional holonomy, and contains much new research material and many new examples.
Details
| OPC | PDHST8Z |
|---|---|
| Codes | 0198506015 (ISBN-10) |
| 9780198506010 (ISBN) |
Disclaimer: The information below is provided by various external sources and should be used as a guide only.
The book starts with a thorough introduction to connections and holonomy groups and to Riemannian complex and Kähler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkähler manifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given and their Betti numbers calculated. The first known examples of these manifolds were discovered by the author in 1993-5. This is the first book to be written about them and contains much previously unpublished material which significantly improves the original constructions.
Alternative names:
- ISBN Compact Manifolds with Special Holonomy book 448 pages
Detailed Product Information
Features
| Release date (DD/MM/YYYY) | 20/07/2000 |
|---|---|
| Number of pages | 448 pages |
| Written by | Dominic David Joyce |
| Publisher | Oxford University Press |
| Suggested gender | Any gender |
| International Standard Book Number (ISBN) | 9780198506010 |
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