Einstein manifolds with nonnegative isotropic curvature are locally symmetric

Simon Brendle

doi:10.1215/00127094-2009-061

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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Simon Brendle. "Einstein manifolds with nonnegative isotropic curvature are locally symmetric." Duke Math. J. 151 (1) 1 - 21, 15 January 2010. https://doi.org/10.1215/00127094-2009-061

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Published: 15 January 2010

First available in Project Euclid: 31 December 2009

zbMATH: 1189.53042

MathSciNet: MR2573825

Digital Object Identifier: 10.1215/00127094-2009-061

Subjects:

Primary: 53C25

Secondary: 53C24

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