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Compact manifolds with special holonomy
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Compact manifolds with special holonomy

Author: Dominic D Joyce
Publisher: Oxford [England] ; New York : Oxford University Press, 2000.
Series: Oxford mathematical monographs.
Edition/Format:   Book : EnglishView all editions and formats
Summary:
This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Dominic D Joyce
ISBN: 0198506015 9780198506010
OCLC Number: 43864470
Description: xii, 436 p. ; 24 cm.
Contents: Background material --
Introduction to connections, curvature and holonomy groups --
Riemannian holonomy groups --
Kähler manifolds --
The Calabi conjecture --
Calabi-Yau manifolds --
Hyperkähler manifolds --
Asymptotically locally Euclidean metrics with holonomy SU(m) --
QALE metrics with holonomy SU(m) and Sp(m) --
Introduction to the exceptional holonomy groups --
Construction of compact G2-manifolds --
Examples of compact 7-manifolds with holonomy G2 --
Construction of compact Spin(7)-manifolds --
Examples of compact 8-manifolds with holonomy Spin(7) --
A second construction of compact 8-manifolds with holonomy Spin(7).
Series Title: Oxford mathematical monographs.
Responsibility: Dominic D. Joyce.
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Abstract:

Starts with an introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then, this book proves the Calabi conjecture uses it to deduce the existence of compact  Read more...

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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 Read more...

 
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