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

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Dominic D. Joyce

Oxford University Press, USA

2000-09-21

448

USD 170.00

Hardcover

9780198506010

图书标签: 紧流形数学

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发表于2024-09-19

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

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

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 This is the first book to be written about them, and contains much previously unpublished material, which significantly improves the original constructions.

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