On Einstein Manifolds of Positive Sectional Curvature
- Cite this article as:
- Gursky, M.J. & LeBrun, C. Annals of Global Analysis and Geometry (1999) 17: 315. doi:10.1023/A:1006597912184
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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.