, Volume 17, Issue 4, pp 315-328

On Einstein Manifolds of Positive Sectional Curvature

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Abstract

Let (M, g) be a compact oriented four-dimensional Einstein 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, with its standard Fubini–Study metric.