Abstract:Abstract In this chapter we study compact Riemannian manifolds with holonomy SU(m). A Calabi–Yau manifold is a compact Kähler manifold (M, J, g) of dimension m 2, with Hol(g) = SU(m). Calabi–Yau manif...Abstract In this chapter we study compact Riemannian manifolds with holonomy SU(m). A Calabi–Yau manifold is a compact Kähler manifold (M, J, g) of dimension m 2, with Hol(g) = SU(m). Calabi–Yau manifolds are Ricci-flat. They are called Calabi– Yau manifolds because one can use Yau’s solution of the Calabi conjecture to provethe existence of K ähler metrics g with holonomy SU(m) on suitable compact complex manifolds (M, J).Read More
Publication Year: 2000
Publication Date: 2000-07-20
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 2
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