Compact Manifolds with Special Holonomy

Name: Compact Manifolds with Special Holonomy
Brand: Oxford University Press
SKU: 9780198506010
Price: 184.99 EUR
Availability: InStock

Автор: Dominic David Joyce

Език:

Корици: С твърди корици

Издател: Oxford University Press

Наличност: Външен склад

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184.99 € 361.80 лв

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian,...

Информация за книгата

Автор

Dominic David Joyce

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2000

страници

448

EAN

9780198506010

ISBN

0198506015

Enbook ID

04526882

Издател

Oxford University Press

Теглоt

805

Размери

161 x 241 x 28

Пълно описание

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler 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) (hyperkahler 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 This is the first book to be written about them, and contains much previously unpublished material, which significantly improves the original constructions.

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Compact Manifolds with Special Holonomy

Информация за книгата

Пълно описание

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