English

Rado's paracompactness theorem for conformal manifolds

Differential Geometry 2025-08-05 v1 Complex Variables General Topology

Abstract

We prove that every manifold of dimension 2\ge 2 admitting a conformal structure is paracompact.

Keywords

Cite

@article{arxiv.2508.02655,
  title  = {Rado's paracompactness theorem for conformal manifolds},
  author = {Michael Kapovich},
  journal= {arXiv preprint arXiv:2508.02655},
  year   = {2025}
}
R2 v1 2026-07-01T04:33:47.789Z