Ricci-flat manifold
In mathematics, Ricci-flat manifolds are Riemannian manifolds whose Ricci curvature tensor vanishes. Ricci-flat manifolds are special cases of Einstein manifolds, where the cosmological constant need not vanish. Ricci-flat manifolds often have restricted holonomy groups. Important cases include Calabi–Yau manifolds and hyperkähler manifolds.
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Ambient constructionCalabi–Yau manifoldCampbell's theorem (geometry)Complex manifoldEinstein field equationsEinstein manifoldFlat manifoldG2 manifoldHistory of mathematical notationHolonomyHyperkähler manifoldK-stabilityK3 surfaceKaluza–Klein theoryKundt spacetimeKähler–Einstein metricList of differential geometry topicsList of manifoldsList of string theory topicsOzsváth–Schücking metricRicci-flatRicci-flat conditionRicci-flat metricRicci curvatureRicci flatSasakian manifoldSpin(7)-manifoldWeyl tensor
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Ricci-flat manifold
In mathematics, Ricci-flat manifolds are Riemannian manifolds whose Ricci curvature tensor vanishes. Ricci-flat manifolds are special cases of Einstein manifolds, where the cosmological constant need not vanish. Ricci-flat manifolds often have restricted holonomy groups. Important cases include Calabi–Yau manifolds and hyperkähler manifolds.
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In mathematics, Ricci-flat man ...... lds and hyperkähler manifolds.
@en
数学では、リッチ平坦多様体(Ricci-flat manif ...... なケースとして、カラビ・ヤウ多様体や超ケーラー多様体がある。
@ja
數學中，里奇平坦流形（Ricci-flat manifold ...... 下，被限制屬於和乐群。其中重要的例子包括有卡拉比–丘流形與。
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In mathematics, Ricci-flat man ...... lds and hyperkähler manifolds.
@en
数学では、リッチ平坦多様体(Ricci-flat manif ...... なケースとして、カラビ・ヤウ多様体や超ケーラー多様体がある。
@ja
數學中，里奇平坦流形（Ricci-flat manifold ...... 下，被限制屬於和乐群。其中重要的例子包括有卡拉比–丘流形與。
@zh
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Ricci-flat manifold
@en
リッチ平坦多様体
@ja
里奇平坦流形
@zh