On Optimal 4-Dimensional Metrics

Details On Optimal 4-Dimensional Metrics On Optimal 4-Dimensional Metrics

2007-11-11

arxiv.org/abs/0711.1668v1

Mathematics

Differential Geometry

37 pages, 5 figures

Scientific paper

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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