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arXiv · 0711.1668

On Optimal 4-Dimensional Metrics

Claude LeBrun·Bernard Maskit
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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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Claude LeBrun, Bernard Maskit. 2007-11-11. On Optimal 4-Dimensional Metrics. https://arxiv.org/abs/0711.1668

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