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.
| Original language | English |
|---|---|
| Pages (from-to) | 315-328 |
| Number of pages | 14 |
| Journal | Annals of Global Analysis and Geometry |
| Volume | 17 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1999 |
Keywords
- Einstein manifold
- Scalar curvature
- Sectional curvature
- Weyl curvature
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