Classifier Instance:

Anchor text: Enriques surface
Target Entity: Enriques_surface
Preceding Context: In particular if a compact Kähler manifold is simply connected then the weak definition above is equivalent to the stronger definition.
Succeeding Context: s give examples of complex manifolds that have Ricci-flat metrics, but their canonical bundles are not trivial so they are Calabi–Yau manifolds according to the second but not the first definition above. Their double covers are Calabi–Yau manifolds for both definitions (in fact K3 surfaces).
Paragraph Title: Definitions
Source Page: Calabi–Yau manifold

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