Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Five-point Toponogov theorem

Nina Lebedeva, Anton Petrunin

Abstract

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

Five-point Toponogov theorem

Abstract

We give an if-and-only-if condition on a five-point metric spaces that admit embeddings into nonnegatively curved Riemannian manifolds.
Paper Structure (8 sections, 36 equations, 15 figures)

This paper contains 8 sections, 36 equations, 15 figures.

Table of Contents

  1. Introduction
  2. LSS(n) and (n+1)-comparison
  3. Associated form
  4. Tense arrays
  5. Extremal metrics
  6. Four-point tense set
  7. Three-point tense sets
  8. Final remarks

Figures (15)

  • Figure :
  • Figure :
  • Figure :
  • Figure :
  • Figure :
  • ...and 10 more figures