Conformally flat metrics on 4-manifolds

2002/10/01 by Michael Kapovich, Kapovich, Michael
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #math.GT #msc:53C15 #msc:57M50

paper · pdf · doi:10.48550/arxiv.math/0210013

9 pages, 2 figures

arxiv created 2002/10/01 · arxiv updated 2009/11/30

Abstract

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.

Related

• Locally conformally flat metrics on surfaces of general type
• Scalar Curvature in Dimension 4
• Moduli spaces of flat Riemannian metrics on 4-dimensional closed manifolds
• Conformal Geometry on Four Manifolds
• On the problem of filling by a Poincaré-Einstein metric in dimension 4