Oxford Mathematical Monographs: Compact Manifolds with Special Holonomy by Dominic D. Joyce (2000, Hardcover)
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It is the first book on compact manifolds with exceptional holonomy, and contains much new research material and many new examples. 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).