On Optimal 4-Dimensional Metrics
classification
🧮 math.DG
math.CV
keywords
metricsconnectedadmitadmitsanti-self-dualcompactcompletelycomplex
read the original 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.
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