A minimizing geodesic realizes the Riemannian distance between its endpoints. A geodesic segment is locally minimizing, but need not remain globally minimizing beyond a cut point.

Ancestors (8)

  1. Riemannian distance
  2. Arc length
  3. Riemannian geometry
  4. Differential geometry
  5. Geometry and topology
  6. Area of mathematics
  7. Mathematics
  8. Home

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