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math.DGFeb 1, 2022
1
citations (OpenAlex)
authors
  • Nina Lebedeva
  • Anton Petrunin
institutions
  • Pennsylvania State University
  • St. Petersburg Department of Steklov Institute of Mathematics
  • St Petersburg University
arXiv abstractPDF
paper

Five-point Toponogov theorem

arXiv:2202.13049 · doi:10.1093/imrn/rnad027

Abstract

We give an if-and-only-if condition on a five-point metric spaces that admit embeddings into nonnegatively curved Riemannian manifolds.

19 pages, 37 figures

References in corpus (4)

  • Alexandrov geometry: foundations
  • 5-point CAT(0) spaces after Tetsu Toyoda
  • Graph comparison meets Alexandrov
  • Trees meet octahedron comparison

Cited by in corpus (1)

  • Graph comparison meets Alexandrov
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