26 citations · 29 across the 10 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…
math.AG1998
Topology versus Chern Numbers for Complex 3-Folds
Claude LeBrun
We show by example that the Chern numbers c_1^3 and c_1 c_2 of a complex 3-fold are not determined by the topology of the underlying smooth compact 6-manifold. In fact, we observe…