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Einstein manifolds with nonnegative isotropic curvature are locally symmetric

Simon Brendle

Duke Mathematical Journal · 2009 · 77 citations · 16 references

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Abstract

Let $(M,g)$ be an Einstein manifold of dimension $n \\geq 4$ with nonnegative isotropic curvature. We show that $(M,g)$ is locally symmetric

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, , +2