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math.DGSep 20, 2021
1
citations (OpenAlex)
authors
  • Alexander Lytchak
  • Koichi Nagano
  • Stephan Stadler
arXiv abstractPDF
paper

CAT(0) 4-manifolds are Euclidean

arXiv:2109.09438

Abstract

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

References in corpus (2)

  • The Bing-Borsuk and the Busemann Conjectures
  • Link Obstruction to Riemannian smoothings of locally CAT(0) 4-manifolds
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