English

CAT(0) 4-manifolds are Euclidean

Differential Geometry 2021-09-21 v1 Geometric Topology Metric Geometry

Abstract

We prove that a topological 4-manifold of globally non-positive curvature is homeomorphic to Euclidean space.

Keywords

Cite

@article{arxiv.2109.09438,
  title  = {CAT(0) 4-manifolds are Euclidean},
  author = {Alexander Lytchak and Koichi Nagano and Stephan Stadler},
  journal= {arXiv preprint arXiv:2109.09438},
  year   = {2021}
}
R2 v1 2026-06-24T06:08:02.769Z