Compact Manifolds with Special Holonomy

Name: Compact Manifolds with Special Holonomy
Brand: Oxford University Press
SKU: 9780198506010
Price: 37900 KES
Availability: OutOfStock
ISBN: 9780198506010

by Dominic David Joyce

Book Details

Format Hardback

Book Series Oxford Mathematical Monographs

ISBN-10 0198506015

ISBN-13 9780198506010

Publisher Oxford University Press

Imprint Oxford University Press

Country of Manufacture GB

Country of Publication GB

Publication Date Jul 20th, 2000

Print length 448 Pages

Weight 805 grams

Dimensions 24.10 x 16.10 x 2.80 cms

Product Classification: Geometry Physics

KSh 37,900.00

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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.

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 This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.

Get Compact Manifolds with Special Holonomy by Dominic David Joyce at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Oxford University Press and it has 448 pages.