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bn:03491066n
Noun Concept
Categories: Riemannian manifolds, Complex manifolds, Differential geometry, Structures on manifolds, Quaternions
EN
hyperkähler manifold  Hyperkaehler manifold  Hyperkahler  Hyperkahler manifold  Hyper-Kaehler manifold
EN
In differential geometry, a hyperkähler manifold is a Riemannian manifold {\displaystyle } endowed with three integrable almost complex structures I, J, K {\displaystyle I,J,K} that are Kähler with respect to the Riemannian metric g {\displaystyle g} and satisfy the quaternionic relations I 2 = J 2 = K 2 = I J K = − 1 {\displaystyle I^{2}=J^{2}=K^{2}=IJK=-1}. Wikipedia
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EN
In differential geometry, a hyperkähler manifold is a Riemannian manifold {\displaystyle } endowed with three integrable almost complex structures I, J, K {\displaystyle I,J,K} that are Kähler with respect to the Riemannian metric g {\displaystyle g} and satisfy the quaternionic relations I 2 = J 2 = K 2 = I J K = − 1 {\displaystyle I^{2}=J^{2}=K^{2}=IJK=-1}. Wikipedia
Riemannian manifold with Sp holonomy, or equivalently with an S² family of Kähler structures Wikidata
IS A
Calabi–Yau manifold
quaternion-Kähler manifold
Hypercomplex manifold
HAS KIND
Nakajima quiver variety
asymptotically locally Euclidean space
NAMED AFTER
Erich Kähler
Wikipedia
EN
hyperkähler manifold
Wikidata
EN
hyperkähler manifold
Wikipedia Redirections
EN
Hyper-Kaehler manifold, Hyper-Kahler manifold, hyper-Kähler manifold, HyperKaehler, HyperKaehler manifold, Hyperkaehler manifold, HyperKahler, Hyperkahler, HyperKahler manifold, Hyperkahler manifold, hyperkähler, HyperKähler manifold, hyperkähler manifolds, hyperkähler metric
Wikidata Alias
EN
hyper-Kähler manifold

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