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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:   Print 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 pages ; 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:

This is a combination of a graduate textbook on Riemannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It is the first book  Read more...

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The first part is a very effective introduction to basic notions and results of modern differential geometry ... This book is highly recommended for people who are interested in the very recent Read more...

 
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