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Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs)

Dominic D. Joyce




[PDF.uo40] Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs)

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 | #1838389 in Books |  2000-09-21 | Original language:English | PDF # 1 |  6.00 x1.10 x9.00l,1.74 | File type: PDF | 448 pages

||9 of 9 people found the following review helpful.| WELL DONE!|By A Customer|This book is, as the author mentioned in the preface, a marriage of two parts. The first part provided more or less a self-contained introduction to the theory of Riemannian holonomy groups, which usually couldn't be found in differential geometry textbooks. The second part is a research monograph on exceptional holonomy groups, which is the subject tha| |The book is written in a very clear and understandable way, with careful explanation of the main ideas and many remarks and comments, and it includes systematic suggestions for further reading ... It can be warmly recommended to mathematicians (in geometry and

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 e...

You can specify the type of files you want, for your device.Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs)   |  Dominic D. Joyce. Which are the reasons I like to read books. Great story by a great author.

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