On Optimal 4-Dimensional Metrics

Abstract

We completely determine, up to homeomorphism, which simply connected compact oriented 4-manifolds admit scalar-flat, anti-self-dual Riemannian metrics. The key new ingredient is a proof that the connected sum of five reverse-oriented complex projective planes admits such metrics.

37 pages, 5 figures

References in corpus (2)

• On Conformally Kaehler, Einstein Manifolds
• Scalar Curvature and Connected Sums Of Self-Dual 4-Manifolds