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On Einstein Manifolds of Positive Sectional Curvature

Matthew Gursky·Claude LeBrun
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Abstract

Let (M,g) be a compact oriented Einstein 4-manifold. If M has positive intersection form and g has non-negative sectional curvature, we show that, up to rescaling and isometry, (M,g) is CP2, equipped with its standard Fubini-Study metric.

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Matthew Gursky, Claude LeBrun. 1998-07-11. On Einstein Manifolds of Positive Sectional Curvature. https://arxiv.org/abs/math/9807055

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