On Optimal 4-Dimensional Metrics

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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

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Differential Geometry, Complex Variables, 53C25; 30F40

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http://salesiana.dossiersoluciones.com/handle/123456789/141912

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1668
 http://arxiv.org/abs/0711.1668

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arXiv