Compact manifolds with special holonomy
Author(s)
Bibliographic Information
Compact manifolds with special holonomy
（Oxford mathematical monographs）（Oxford science publications）
Oxford University Press, 2000
- : hbk
Available at / 44 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hbkJOY||3||2200021323886
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: hbk516.07/J8512070511442
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. [419]-431) and index
Description and Table of Contents
Description
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 This is the first book to be written about them, and contains much previously unpublished material which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.
by "Nielsen BookData"