Hyperkähler manifold

id: hyperk-hler-manifold-267-15121502
title: Hyperkähler manifold
text: In differential geometry, a hyperkähler manifold is a Riemannian manifold endowed with three integrable almost complex structures I , J , K that are Kähler with respect to the Riemannian metric g and satisfy the quaternionic relations I 2 = J 2 = K 2 = I J K = − 1 . In particular, it is a hypercomplex manifold. All hyperkähler manifolds are Ricci-flat and are thus Calabi–Yau manifolds. Hyperkähler manifolds were defined by Eugenio Calabi in 1979.
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original url: https://en.wikipedia.org/wiki/Hyperk%C3%A4hler_manifold
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date modified: 2023-11-07T00:44:42Z
main entity: {"identifier":"Q3082377","url":"https://www.wikidata.org/entity/Q3082377"}
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