Calabi-Yau manifolds and related geometries by Gross, M, Huybrechts, D, Joyce, D

Compact manifolds with special holonomy by Joyce, D

“…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). …”