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Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs)
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简体网页||繁体网页
Dominic D. Joyce 作者
Oxford University Press, USA
译者
2000-09-21 出版日期
448 页数
USD 170.00 价格
Hardcover
丛书系列
9780198506010 图书编码

Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs) 在线电子书 图书标签: 紧流形  数学   

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Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs) 在线电子书 图书描述

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 This is the first book to be written about them, and contains much previously unpublished material, which significantly improves the original constructions.

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