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Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs) 2025 pdf epub mobi 電子書下載

Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs)

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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 This is the first book to be written about them, and contains much previously unpublished material, which significantly improves the original constructions.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 (Oxford Mathematical Monographs) 2025 pdf epub mobi 電子書下載

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出版者:Oxford University Press, USA

作者:Dominic D. Joyce

出品人:

頁數:448

譯者:

出版時間:2000-09-21

價格:USD 170.00

裝幀:Hardcover

isbn號碼:9780198506010

叢書系列:

圖書標籤: 緊流形數學

Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs) 2025 pdf epub mobi 電子書下載

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