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Ambient acceleration criterion for a surface geodesic

For a smoothly parametrized curve on an embedded surface in Euclidean space, the geodesic equations hold exactly when the ambient acceleration is normal to the surface.

Ancestors (7)

  1. Geodesic equation
  2. Riemannian geometry
  3. Differential geometry
  4. Geometry and topology
  5. Area of mathematics
  6. Mathematics
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