English

Five-point Toponogov theorem

Differential Geometry 2024-03-11 v3 Metric Geometry

Abstract

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

Keywords

Cite

@article{arxiv.2202.13049,
  title  = {Five-point Toponogov theorem},
  author = {Nina Lebedeva and Anton Petrunin},
  journal= {arXiv preprint arXiv:2202.13049},
  year   = {2024}
}

Comments

19 pages, 37 figures

R2 v1 2026-06-24T09:54:40.348Z