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Hopf-Rinow theorem

Every connected compact Riemannian manifold is geodesically complete. In particular, every exponential map is defined on its full tangent space.

Ancestors (8)

  1. Complete geodesic
  2. Geodesic
  3. Riemannian geometry
  4. Differential geometry
  5. Geometry and topology
  6. Area of mathematics
  7. Mathematics
  8. Home

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