26 citations · 30 across the 12 of their papers we have counts for
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math.DG1998
On Einstein Manifolds of Positive Sectional Curvature
Matthew Gursky, Claude LeBrun
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,…
math.DG1998
Weyl Curvature, Einstein Metrics, and Seiberg-Witten Theory
Claude LeBrun
We show that solutions of the Seiberg-Witten equations lead to non-trivial lower bounds for the L2-norm of the Weyl curvature of a compact Riemannian 4-manifold. These estimates ar…