English

Conformally flat metrics on 4-manifolds

Differential Geometry 2007-05-23 v1 Geometric Topology

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.

Keywords

Cite

@article{arxiv.math/0210013,
  title  = {Conformally flat metrics on 4-manifolds},
  author = {Michael Kapovich},
  journal= {arXiv preprint arXiv:math/0210013},
  year   = {2007}
}

Comments

9 pages, 2 figures