Compact manifolds with special holonomy

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kähler 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) (hyperkähler manifolds). Th...

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Auteur principal: Joyce, D
Format: Livre
Publié: Oxford University Press 2000