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arxiv: math/0210013 · v1 · submitted 2002-10-01 · 🧮 math.DG · math.GT

Conformally flat metrics on 4-manifolds

classification 🧮 math.DG math.GT
keywords closedconformallyflatmanifoldsmoothadmitsconnectedexists
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We prove that for each closed smooth spin 4-manifold M there exists a closed smooth 4-manifold N such that the connected sum M # N admits a conformally flat Riemannian metric.

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